# LaTeX2HTML 2002 (1.62)
# Associate images original text with physical files.


$key = q/{displaymath}F_1=K(X_2-2X_1)+K^1(X_3-2X_1){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="254" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="\begin{displaymath}
F_1 = K(X_2 - 2X_1) + K^1(X_3 - 2X_1)
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="286" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img147.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagenesslashfig31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="518" HEIGHT="275" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img160.png"
 ALT="\includegraphics[width=4.5in]{imagenes/fig31.eps}">|; 

$key = q/{displaymath}mbox{cos}hvarphi=mbox{cos}hibeta=frac{e^{ibeta}+e^{-ibeta}}{2}=fraccos}beta-imbox{sen}beta}{2}=frac{2mbox{cos}beta}{2}leq1{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="553" HEIGHT="42" BORDER="0"
 SRC="|."$dir".q|img271.png"
 ALT="\begin{displaymath}\mbox{cos}  h  \varphi = \mbox{cos}  h \
i  \beta = \fra...
...- i
 \mbox{sen}\beta}{2} = \frac{2 \mbox{cos}\beta}{2} \leq 1\end{displaymath}">|; 

$key = q/includegraphics[width=2.2in]{imagenesslashfig42b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="152" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img176.png"
 ALT="\includegraphics[width=2.2in]{imagenes/fig42b.eps}">|; 

$key = q/varepsilon=lambdasqrt{Mm}slashA_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img251.png"
 ALT="$\varepsilon = \lambda
\sqrt{Mm} / A_{2}$">|; 

$key = q/includegraphics[width=2.2in]{imagenesslashfig44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="197" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img179.png"
 ALT="\includegraphics[width=2.2in]{imagenes/fig44.eps}">|; 

$key = q/F;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$F$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig75b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="179" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img239.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig75b.eps}">|; 

$key = q/{displaymath}Y_{i+2}=-frac{A_{1}}{A_{2}}frac{sqrt{m}}{sqrt{M}}Y_{i+1}+frac{lambdfrac{A_{1}}{A_{2}}frac{sqrt{m}}{sqrt{M}}Y_{i-1}-Y_{i-2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="410" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\begin{displaymath}
Y_{i+2} = -\frac{A_{1}}{A_{2}} \frac{\sqrt{m}}{\sqrt{M}} Y_...
...ac{A_{1}}{A_{2}}
\frac{\sqrt{m}}{\sqrt{M}} Y_{i-1} - Y_{i-2}
\end{displaymath}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig07.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="159" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="\includegraphics[width=4in]{imagenes/fig07.eps}">|; 

$key = q/{displaymath}sqrt{M}ddot{X}=sqrt{M}^{-1}Ksqrt{M}^{-1}sqrt{M}X{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="25" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="\begin{displaymath}
\sqrt{M}  \ddot{X} = \sqrt{M} ^{-1} K  \sqrt{M} ^{-1} \sqrt{M}  X
\end{displaymath}">|; 

$key = q/T_{m};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$T_{m}$">|; 

$key = q/sqrt{M}^{-1}Ksqrt{M}^{-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="135" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$ \sqrt{M} ^{-1}  K  \sqrt{M} ^{-1}$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig63b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="155" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img215.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig63b.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig78a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="198" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img244.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig78a.eps}">|; 

$key = q/{displaymath}ddot{Y}=AY=lambdaY{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="24" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="\begin{displaymath}
\ddot{Y} = A  Y = \lambda  Y
\end{displaymath}">|; 

$key = q/{displaymath}F_N=K(X_{N-1}-2X_N)+K^1(X_{N-2}-2X_N){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="312" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="\begin{displaymath}
F_N = K(X_{N-1} - 2 X_N) + K^1(X_{N-2} - 2X_N)
\end{displaymath}">|; 

$key = q/Y=sqrt{M}X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$Y = \sqrt{M}  X$">|; 

$key = q/sqrt{};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$\sqrt{   }$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig04.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="100" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="\includegraphics[width=4in]{imagenes/fig04.eps}">|; 

$key = q/{displaymath}4C^{2}-2C(rhovarepsilon+K^{2}+4K+4)+varepsilon^{2}+2rhovarepsilon(K+1)+2(K^{2}+4(K+2))=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="510" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img264.png"
 ALT="\begin{displaymath}
4C^{2} - 2C(\rho \varepsilon + K^{2} + 4K + 4) + \varepsilon^{2} +
2 \rho \varepsilon(K + 1) + 2(K^{2} + 4(K + 2)) = 0
\end{displaymath}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig55a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img200.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig55a.eps}">|; 

$key = q/varphi>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img269.png"
 ALT="$\varphi &gt; 1$">|; 

$key = q/C_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img187.png"
 ALT="$C_1$">|; 

$key = q/KX;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$KX$">|; 

$key = q/{displaymath}C=frac{2[rhovarepsilon+(K+2)]pmsqrt{4[(rhovarepsilon+(K+2)^{2}]^{2}+2rhovarepsilon(K+1)+2(K^{2}+2K+2)}}{8}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="533" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img246.png"
 ALT="\begin{displaymath}
C = \frac{2[\rho \varepsilon + (K + 2)] \pm \sqrt{4[(\rho
...
...]^{2} + 2 \rho \varepsilon (K + 1) + 2
(K^{2} + 2K + 2)}}{8}
\end{displaymath}">|; 

$key = q/{displaymath}Z_{i}=T_{m}Z_{i-1}yZ_{i}=T_{M}Z_{i-1}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="296" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\begin{displaymath}
Z_{i} = T_{m} Z_{i-1}           y          \
Z_{i} = T_{M} Z_{i-1}
\end{displaymath}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig62b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="166" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img213.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig62b.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="295" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img145.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig23.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig01.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="66" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="\includegraphics[width=4in]{imagenes/fig01.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig67b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="168" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img224.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig67b.eps}">|; 

$key = q/C_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img188.png"
 ALT="$C_2$">|; 

$key = q/includegraphics[width=2.2in]{imagenesslashfig43a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="152" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img177.png"
 ALT="\includegraphics[width=2.2in]{imagenes/fig43a.eps}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="292" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img166.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig37.eps}">|; 

$key = q/C_1,C_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.png"
 ALT="$C_1,C_2$">|; 

$key = q/displaystyleM_{i}ddot{X}_{i}=K(X_{i-1}+X_{i+1}-2X_{i})+K^1(X_{i-2}+X_{i+2}-2X_{i});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="415" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle M_{i} \ddot{X}_{i} =
K(X_{i-1}+X_{i+1}-2X_{i})+K^1(X_{i-2}+X_{i+2}-2
X_{i})$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig68a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="216" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img225.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig68a.eps}">|; 

$key = q/i+1,i,i-1,i-2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$i+1,  i,  i-1,  i-2$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashfig52.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="223" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img194.png"
 ALT="\includegraphics[width=2.5in]{imagenes/fig52.eps}">|; 

$key = q/-4(A_{1}+A_{2})leqlambdaleq0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="154" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img247.png"
 ALT="$-4 (A_{1} + A_{2}) \leq \lambda \leq 0$">|; 

$key = q/{displaymath}-mu[-mu(K^{2}+varepsilonslashrho+2(K+1)-mu)(varepsilonrho+2K+2-mu)-K^{2}+{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="415" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="\begin{displaymath}
- \mu [-\mu (K^{2} + \varepsilon / \rho + 2 (K + 1) - \mu) (\varepsilon \rho + 2K + 2 - \mu) - K^{2} +
\end{displaymath}">|; 

$key = q/XMP=0.75;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img172.png"
 ALT="$XMP = 0.75$">|; 

$key = q/displaystylemu^{4}-mu^{3}[K^{2}+8(rho+1slashrho)+4(K+1)]+mu^{2}[4(K+1)^{2}-2K^{2}+2+;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img249.png"
 ALT="$\displaystyle \mu^{4} - \mu^{3} [K^{2} + 8 (\rho + 1/\rho) + 4(K + 1)] +
\mu^{2}[4(K + 1)^{2} - 2K^{2} + 2 +$">|; 

$key = q/alpha<0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$\alpha &lt;
0$">|; 

$key = q/{displaymath}A=left[array{{ccccccc}frac{-A_{1}-A_{2}}{m}&frac{A_{1}}{sqrt{mM}}&f}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{0}}{m}&array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="433" HEIGHT="288" BORDER="0"
 SRC="|."$dir".q|img186.png"
 ALT="\begin{displaymath}
A = \left [\begin{array}{ccccccc}
\frac{-A_{1}-A_{2}}{m} &amp;...
...{A_{1}}{\sqrt{mM}} &amp; \frac{A_{0}}{m}
&amp;
\end{array} \right ]
\end{displaymath}">|; 

$key = q/T_{d};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$T_{d}$">|; 

$key = q/XMP=0.825;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="$X M P =
0.825$">|; 

$key = q/{displaymath}TZ=muZ{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="\begin{displaymath}
T Z = \mu Z
\end{displaymath}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig60.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="298" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img209.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig60.eps}">|; 

$key = q/{displaymath}r_{1}+frac{1}{r_{1}}=ar_{2}+frac{1}{r_{2}}=b{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="220" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img252.png"
 ALT="\begin{displaymath}
r_{1} + \frac{1}{r_{1}} = a            r_{2} +
\frac{1}{r_{2}} = b
\end{displaymath}">|; 

$key = q/{displaymath}varepsilon^{2}+2rhovarepsilon[K+1-C]+4C^{2}-2C[K^{2}+4(K+1)]+4(K+1)^{2}-2K^{2}=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="512" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img259.png"
 ALT="\begin{displaymath}
\varepsilon^{2} + 2 \rho  \varepsilon [K + 1 - C] + 4C^{2} -
2C[K^{2} + 4(K + 1)] + 4(K + 1)^{2} - 2K^{2} = 0
\end{displaymath}">|; 

$key = q/{displaymath}A=left[array{{cccccc}frac{A_{0}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{22}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{0}}{m}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="379" HEIGHT="236" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="\begin{displaymath}
A = \left [\begin{array}{cccccc}
\frac{A_{0}}{m} &amp; \frac{...
...rac{A_{1}}{\sqrt{mM}} &amp; \frac{A_{0}}{m}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/2,4,6,.....i+2.i+4,.........2N,2N+2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="267" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$2,4,6,... ..i+2.
i+4, ......... 2N, 2N + 2$">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig54a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="180" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img198.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig54a.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig62a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="169" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img212.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig62a.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="255" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img149.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig27.eps}">|; 

$key = q/ellmmu=varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$\ell m \mu = \varphi$">|; 

$key = q/Nslash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img205.png"
 ALT="$N/2$">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig65a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="173" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img219.png"
 ALT="\includegraphics[width=2in]{imagenes/fig65a.eps}">|; 

$key = q/-mbox{{{Large{e}}^alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$-\mbox{{\Large e}}^\alpha$">|; 

$key = q/{displaymath}ddot{X}=M^{-1}KX{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="24" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="\begin{displaymath}
\ddot{X} = M^{-1} K X
\end{displaymath}">|; 

$key = q/{displaymath}Y_{i}=C_{1}mbox{{{large{e}}^{isqrt{lambda}_{i}t}+C_{2}mbox{{{large{e}}^{-isqrt{lambda}_{i}t}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="184" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\begin{displaymath}
Y_{i} = C_{1} \mbox{{\large e}}^{i\sqrt{\lambda}_{i}t} + C_{2}\mbox{{\large e}}^{-i\sqrt{\lambda}_{i}t}
\end{displaymath}">|; 

$key = q/alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$\alpha$">|; 

$key = q/coseno;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img274.png"
 ALT="$coseno$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="356" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img158.png"
 ALT="\includegraphics[width=4in]{imagenes/fig30.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig09.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="277" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="\includegraphics[width=4in]{imagenes/fig09.eps}">|; 

$key = q/{displaymath}mbox{cos}h(alpha+ibeta)=frac{e^{alpha}(mbox{cos}beta+imbox{sen}beta)+e^{-alpha}(mbox{cos}beta+imbox{sen}beta)}{2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="386" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img278.png"
 ALT="\begin{displaymath}\mbox{cos}  h(\alpha + i  \beta) =
\frac{e^{\alpha}(\mbox{...
...eta) +
e^{-\alpha} (\mbox{cos} \beta + i \mbox{sen} \beta)}{2}\end{displaymath}">|; 

$key = q/varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\varphi$">|; 

$key = q/{displaymath}left[array{{cccc}-Krho&(lambdaM-A_{0})slashA_{2}&-Krho&-11&0&0&00&1&0&00&0&1&0array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="270" HEIGHT="83" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="\begin{displaymath}
\left [ \begin{array}{cccc}
-K \rho &amp; (\lambda M - A_{0})...
...0 \\\\
0 &amp; 1 &amp; 0 &amp; 0 \\\\
0 &amp; 0 &amp; 1 &amp; 0
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig79.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="283" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img280.png"
 ALT="\includegraphics[width=4in]{imagenes/fig79.eps}">|; 

$key = q/180^o;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$180^o$">|; 

$key = q/mbox{cos}h=(e^{varphi}+e^{-varphi})slash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img159.png"
 ALT="$\mbox{cos}h = (e^{\varphi} +
e^{-\varphi})/2$">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig46b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="162" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img182.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig46b.eps}">|; 

$key = q/{displaymath}M=frac{mu}{rho}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="38" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="\begin{displaymath}
M = \frac{\mu}{\rho}
\end{displaymath}">|; 

$key = q/{displaymath}X=left[array{{c}x_{1}x_{2}vdotsx_{i}vdotsx_{N}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="\begin{displaymath}
X = \left [ \begin{array}{c}
x_{1} \\\\
x_{2} \\\\
\vdots \\\\
x_{i} \\\\
\vdots \\\\
x_{N} \\\\
\end{array} \right ]
\end{displaymath}">|; 

$key = q/-2.0leqCleq0.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="112" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img276.png"
 ALT="$-2.0 \leq C
\leq 0.5$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig58.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="229" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img206.png"
 ALT="\includegraphics[width=4in]{imagenes/fig58.eps}">|; 

$key = q/{displaymath}left[array{{c}y_{i+2}y_{i+1}y_{i}y_{i-1}array{right]=left[array{{ccht]left[array{{c}y_{i+1}y_{i}y_{i-1}y_{i-2}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="420" HEIGHT="93" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="\begin{displaymath}
\left [ \begin{array}{c}
y_{i + 2} \\\\
y_{i + 1} \\\\
y_...
...y_{i} \\\\
y_{i - 1} \\\\
y_{i - 2} \\\\
\end{array} \right ]
\end{displaymath}">|; 

$key = q/<-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img268.png"
 ALT="$&lt; - 1$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig55b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img201.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig55b.eps}">|; 

$key = q/{displaymath}left[array{{cccccc}1slashsqrt{m_{1}}&&&&&&1slashsqrt{m_{2}}&&&&&&ddrt{m_{i}}&&&&&&ddots&&&&&&1slashsqrt{m_{N}}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="348" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="\begin{displaymath}
\left [\begin{array}{cccccc}
1/\sqrt{m_{1}} &amp; &amp; &amp; &amp; &amp; \\\\...
...ddots &amp; \\\\
&amp; &amp; &amp; &amp; &amp; 1/\sqrt{m_{N} }
\end{array} \right ]
\end{displaymath}">|; 

$key = q/1,2,3,4...N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$ 1, 2, 3,
4...N$">|; 

$key = q/RHO;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img203.png"
 ALT="$RHO$">|; 

$key = q/T;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$ T $">|; 

$key = q/XMG=1.50;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img173.png"
 ALT="$XMG = 1.50$">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="304" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img189.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig49.eps}">|; 

$key = q/>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img267.png"
 ALT="$&gt; 1$">|; 

$key = q/A_o=-2(A_1+A_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="135" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$A_o = -2(A_1 + A_2)$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig77a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="177" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img242.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig77a.eps}">|; 

$key = q/varepsilon;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$\varepsilon$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig71a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img230.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig71a.eps}">|; 

$key = q/mM;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$m  M$">|; 

$key = q/{displaymath}A!=!left[array{{ccccccccccc}frac{-(varepsilon+1)(A_{1}+A_{2}}{m}&frt{mM}}&frac{(1+varepsilon)(A_{1}+A_{2})}{M}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="765" HEIGHT="285" BORDER="0"
 SRC="|."$dir".q|img228.png"
 ALT="\begin{displaymath}
A\!=\!\left [\begin{array}{ccccccccccc}
\frac{-(\varepsilo...
...c{(1 + \varepsilon) (A_{1} +
A_{2})}{M}
\end{array} \right]
\end{displaymath}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig66a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="209" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img221.png"
 ALT="\includegraphics[width=2in]{imagenes/fig66a.eps}">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig50a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="180" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img190.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig50a.eps}">|; 

$key = q/{displaymath}W_{1}=4.0,W_{2}=8.0,A_{1}=1.5,A_{2}=0.5{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="302" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img152.png"
 ALT="\begin{displaymath}W_{1}=4.0,   W_{2}=8.0,   A_{1}=1.5,   A_{2}=0.5\end{displaymath}">|; 

$key = q/{displaymath}varepsilon=frac{lambdaM}{A_{2}}=frac{lambdasqrt{Mm}}{A_{2}}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="136" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="\begin{displaymath}
\varepsilon = \frac{\lambda M}{A_{2}} = \frac{\lambda \sqrt{M m}}{A_{2}}
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="281" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig15.eps}">|; 

$key = q/A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$A$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig06.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="186" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\includegraphics[width=4in]{imagenes/fig06.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="295" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig13.eps}">|; 

$key = q/seno;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img273.png"
 ALT="$seno$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig71b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="165" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img231.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig71b.eps}">|; 

$key = q/Z;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$Z$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="313" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="\includegraphics[width=4in]{imagenes/fig12.eps}">|; 

$key = q/C_{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="$C_{1}$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="377" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img165.png"
 ALT="\includegraphics[width=4in]{imagenes/fig36.eps}">|; 

$key = q/sqrt{N}^{-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$\sqrt{N} ^{-1}$">|; 

$key = q/m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="$m$">|; 

$key = q/includegraphics[width=2.2in]{imagenesslashfig42a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="152" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img175.png"
 ALT="\includegraphics[width=2.2in]{imagenes/fig42a.eps}">|; 

$key = q/{displaymath}M=left[array{{cccccc}m_{1}&&&&&&m_{2}&&&&&&ddots&&&&&&m_{i}&&&&&&ddots&&&&&&m_{N}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="275" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\begin{displaymath}
M = \left [\begin{array}{cccccc}
m_{1} &amp; &amp; &amp; &amp; &amp; \\\\
&amp; ...
... &amp; &amp; &amp; &amp; \ddots &amp; \\\\
&amp; &amp; &amp; &amp; &amp; m_{N}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/{displaymath}A=left[array{{ccccccccccc}frac{A_{0}}{m}&frac{A_{1}}{sqrt{mM}}&frac2}}{M}&frac{A_{1}}{sqrt{mM}}&frac{A_{0}}{M}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="559" HEIGHT="277" BORDER="0"
 SRC="|."$dir".q|img208.png"
 ALT="\begin{displaymath}
A = \left [\begin{array}{ccccccccccc}
\frac{A_{0}}{m} &amp; \f...
...rac{A_{1}}{\sqrt{mM}} &amp; \frac{A_{0}}{M}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig69.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="158" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img227.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig69.eps}">|; 

$key = q/mu;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$\mu$">|; 

$key = q/includegraphics[width=4.4in]{imagenesslashfig53.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="506" HEIGHT="291" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img197.png"
 ALT="\includegraphics[width=4.4in]{imagenes/fig53.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="68" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="\includegraphics[width=4in]{imagenes/fig10.eps}">|; 

$key = q/{displaymath}C=frac{2(rhovarepsilon+(K+2)^{2}pmsqrt{4[rhovarepsilon+(K+2)^{2}]^{[varepsilon^{2}+2rhovarepsilon(K+1)+2(K^{2}+4K+2)]}}{8}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="604" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img265.png"
 ALT="\begin{displaymath}
C = \frac{2 (\rho \varepsilon + (K + 2)^{2} \pm \sqrt{4[\rh...
...on^{2} + 2 \rho
\varepsilon(K + 1) + 2(K^{2} + 4K + 2)]}}{8}
\end{displaymath}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="309" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img180.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig45.eps}">|; 

$key = q/A_{1}+A_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$A_{1} + A_{2}$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig68b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="218" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img226.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig68b.eps}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig65b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="166" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img220.png"
 ALT="\includegraphics[width=2in]{imagenes/fig65b.eps}">|; 

$key = q/{displaymath}frac{d^{2}Y_{i}}{dt^{2}}=lambda_{i}Y_{i}=frac{A_{2}}{m}Y_{i-2}+frac_{i}+frac{A_{1}}{sqrt{mM}}Y_{i+1}+frac{A_{2}}{m}Y_{i+2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="482" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="\begin{displaymath}
\frac{d^{2}Y_{i}}{dt^{2}} = \lambda_{i} Y_{i} = \frac{A_{2}...
...
+ \frac{A_{1}}{\sqrt{mM}} Y_{i+1} + \frac{A_{2}}{m} Y_{i+2}
\end{displaymath}">|; 

$key = q/180^{circ};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img277.png"
 ALT="$180^{\circ}$">|; 

$key = q/ddot{X}_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$\ddot{X}_{i}$">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig03.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="140" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\includegraphics[width=4in]{imagenes/fig03.eps}">|; 

$key = q/sqrt{M}^{-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$\sqrt{M} ^{-1}$">|; 

$key = q/A_{0}=-2(K+K^1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$A_{0} = -2 (K +
K^1)$">|; 

$key = q/Y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="$Y$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="273" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img146.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig24.eps}">|; 

$key = q/displaystyle-K(X_{i}-X_{i-1})-K(X_{i}-X_{i+1})-K^{1}(X_{i}-X_{i-2})-K^{1}(X_{i}-X_{i+2});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="488" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle -K(X_{i}-X_{i-1})-K(X_{i}-X_{i+1})-K^{1}(X_{i}-X_{i-2})-K^{1}(X_{i}-X_{i+2})$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="205" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img164.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig35.eps}">|; 

$key = q/A_1=1.5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img155.png"
 ALT="$A_1=1.5$">|; 

$key = q/{displaymath}mu=e^{ibeta}=mbox{cos}beta+imbox{sen}beta{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="27" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="\begin{displaymath}
\mu = e^{i\beta} = \mbox{cos}\beta + i  \mbox{sen}\beta
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="250" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img148.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig26.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="284" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="\includegraphics[width=4in]{imagenes/fig11.eps}">|; 

$key = q/-1leqCleq1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img272.png"
 ALT="$-1 \leq C
\leq 1$">|; 

$key = q/{displaymath}mbox{cos}h(alpha+ipi)=frac{e^{alpha}(mbox{cos}pi+imbox{sen}pi)+e^{-pi)}{2}=frac{e^{alpha}-e^{-alpha}}{2}=-mbox{cos}halpha,{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="555" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img275.png"
 ALT="\begin{displaymath}\mbox{cos}  h (\alpha + i \pi) =
\frac{e^{\alpha}(\mbox{cos...
...frac{e^{\alpha} - e^{- \alpha}}{2} = - \mbox{cos}  h  \alpha,\end{displaymath}">|; 

$key = q/{displaymath}K=left[array{{cccccc}A_{0}&A_{1}&A_{2}&&&A_{1}&A_{0}&A_{1}&A_{2}&&&{2}&&ddots&ddots&ddots&&&&A_{2}&A_{1}&A_{0}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="263" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="\begin{displaymath}
K = \left [\begin{array}{cccccc}
A_{0} &amp; A_{1} &amp; A_{2} &amp; ...
...ots &amp; \\\\
&amp; &amp; &amp; A_{2} &amp; A_{1} &amp; A_{0}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig56.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="188" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img202.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig56.eps}">|; 

$key = q/A_{1}=0.1,A_{2}=1.9,F=0.045;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="220" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="$A_{1} = 0.1 , \
A_{2} = 1.9 ,  F = 0.045$">|; 

$key = q/varphi(epsilon^alpha);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$\varphi(\epsilon^\alpha)$">|; 

$key = q/Q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$Q$">|; 

$key = q/varphi<1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img270.png"
 ALT="$\varphi &lt; 1$">|; 

$key = q/1,3,5,........i+1,..2N+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$1,3,5, ........ i + 1,
..2N + 1$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="270" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig17.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig67a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img223.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig67a.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig76a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img240.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig76a.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig78b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="200" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img245.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig78b.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig05.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="283" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="\includegraphics[width=4in]{imagenes/fig05.eps}">|; 

$key = q/displaystyle+2(K+1)varepsilon(rho+1slashrho)+varepsilon^{2}]-mu[kappa^{2}+varepsilon(rho+1slashrho)+4(K+1)]+1=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="473" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img250.png"
 ALT="$\displaystyle + 2(K + 1) \varepsilon (\rho
+ 1/\rho) + \varepsilon^{2}] - \mu[\kappa^{2} + \varepsilon (\rho
+ 1/\rho) + 4(K + 1)] + 1 = 0$">|; 

$key = q/{displaymath}T_{d}=left[array{{cccc}K^{2}+frac{varepsilon}{rho}+2(K+1)&frac{-K}{varepsilonrho+2(K+1)&-Krho&-11&0&0&00&1&0&0array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="489" HEIGHT="85" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="\begin{displaymath}
T_{d} = \left [ \begin{array}{cccc}
K^{2} + \frac{\varepsi...
...1 \\\\
1 &amp; 0 &amp; 0 &amp; 0 \\\\
0 &amp; 1 &amp; 0 &amp; 0
\end{array} \right ]
\end{displaymath}">|; 

$key = q/A_{1}=K,quadA_{2}=K^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$A_{1} = K, \quad A_{2} = K^1$">|; 

$key = q/displaystylemu^{4}-mu^{3}[K^{2}+varepsilon(rho+1slashrho)+4(K+1)]+mu^{2}[4(K+1)^{2}-2K^{2}+2+;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$\displaystyle \mu^{4} - \mu^{3} [K^{2} + \varepsilon (\rho + 1 / \rho) + 4(K + 1)] + \mu^{2} [4(K + 1)^{2} - 2K^{2} + 2 +$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="286" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig20.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img144.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig22.eps}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig64b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="167" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img218.png"
 ALT="\includegraphics[width=2in]{imagenes/fig64b.eps}">|; 

$key = q/{displaymath}left[array{{cccc}K^{2}-varepsilonrho+2(K+1)-mu&frac{-K}{rho}(varepslonrho+2(K+1)-mu&-Krho&-11&0&-mu&00&1&0&-muarray{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="484" HEIGHT="85" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="\begin{displaymath}
\left [ \begin{array}{cccc}
K^{2} - \varepsilon \rho + 2(...
...
1 &amp; 0 &amp; -\mu &amp; 0 \\\\
0 &amp; 1 &amp; 0 &amp; -\mu
\end{array} \right ]
\end{displaymath}">|; 

$key = q/{displaymath}(mu^{2}-amu+1)(mu^{2}-bmu+1)=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="215" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img253.png"
 ALT="\begin{displaymath}
(\mu^{2} - a\mu + 1)(\mu^{2} - b\mu + 1) = 0
\end{displaymath}">|; 

$key = q/{displaymath}frac{lambdaM}{A_{2}}=frac{lambdamu}{A_{2}rho}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="42" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="\begin{displaymath}
\frac{\lambda M}{A_{2}} = \frac{\lambda \mu}{A_{2} \rho}
\end{displaymath}">|; 

$key = q/textstyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$\textstyle =$">|; 

$key = q/includegraphics[width=2.2in]{imagenesslashfig43b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="152" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img178.png"
 ALT="\includegraphics[width=2.2in]{imagenes/fig43b.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="285" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig16.eps}">|; 

$key = q/displaystyleMddot{X}=KX;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$\displaystyle M\ddot{X} = KX$">|; 

$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$X$">|; 

$key = q/varphialpha+ipi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img216.png"
 ALT="$\varphi \alpha + i \pi$">|; 

$key = q/T_{M};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$T_{M}$">|; 

$key = q/{displaymath}Y_{i+1}=Y_{i+1}Y_{i}=Y_{i}Y_{i-1}=Y_{i-1}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="319" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="\begin{displaymath}
Y_{i+1} = Y_{i+1}           Y_{i} = Y_{i}           Y_{i-1} = Y_{i-1}
\end{displaymath}">|; 

$key = q/A_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.png"
 ALT="$A_2$">|; 

$key = q/alpha>0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$\alpha
&gt; 0$">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig54b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="180" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img199.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig54b.eps}">|; 

$key = q/varphi=ibeta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$\varphi = i  \beta$">|; 

$key = q/{displaymath}ddot{Y}=AY{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="24" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="\begin{displaymath}
\ddot{Y} = A  Y
\end{displaymath}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="305" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img163.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig34.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="226" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img168.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig39.eps}">|; 

$key = q/qquadZ_{0}=left[array{{c}y_{2}y_{1}y_{0}y_{-1}array{right]qquadZ_{N}=left[array{{c}y_{N+2}y_{N+1}y_{N}y_{N-1}array{right];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="289" HEIGHT="92" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="$ \qquad Z_{0} = \left [ \begin{array}{c}
y_{2} \\\\
y_{1} \\\\
y_{0} \\\\
y_{-...
...
y_{N + 2} \\\\
y_{N + 1} \\\\
y_{N} \\\\
y_{N - 1} \\\\
\end{array} \right ] $">|; 

$key = q/includegraphics[width=4.4in]{imagenesslashfig48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="506" HEIGHT="379" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img185.png"
 ALT="\includegraphics[width=4.4in]{imagenes/fig48.eps}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig59.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="233" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img207.png"
 ALT="\includegraphics[width=2in]{imagenes/fig59.eps}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img157.png"
 ALT="\includegraphics[width=4in]{imagenes/fig29.eps}">|; 

$key = q/varphi=alpha+ibeta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$\varphi = \alpha + i \beta$">|; 

$key = q/frac{-A_{0}}{A_{2}}=2(k+1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="$\frac{-A_{0}}{A_{2}} = 2(k + 1)$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig75a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="180" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img238.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig75a.eps}">|; 

$key = q/XMP;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img195.png"
 ALT="$XMP$">|; 

$key = q/rho=rho+frac{1}{rho};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img256.png"
 ALT="$\rho = \rho + \frac{1}{\rho}$">|; 

$key = q/{displaymath}frac{lambdam}{A_{2}}=frac{lambdamurho}{A_{2}}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="42" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="\begin{displaymath}
\frac{\lambda m}{A_{2}} = \frac{\lambda \mu \rho}{A_{2}}
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="212" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img161.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig32.eps}">|; 

$key = q/sqrt{M};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$\sqrt{M}$">|; 

$key = q/X_{i-2},X_{i-1},X_{i+1},X_{i+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="164" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$X_{i-2}, X_{i-1}, X_{i+1}, X_{i+2}$">|; 

$key = q/A_{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$A_{1}$">|; 

$key = q/X_{n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$ X_{n}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashfig47a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="173" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img183.png"
 ALT="\includegraphics[width=2.5in]{imagenes/fig47a.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig73b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="170" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img235.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig73b.eps}">|; 

$key = q/{displaymath}m=mu_{rho}Rightarrowrho=frac{mM}{muM}=frac{mu^{2}}{muM}=frac{mu}{M}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="233" HEIGHT="44" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="\begin{displaymath}
m = \mu_{\rho} \Rightarrow \rho = \frac{m M}{\mu M} = \frac{\mu^{2}}{\mu M} = \frac{\mu}{M}
\end{displaymath}">|; 

$key = q/includegraphics[width=4in]{imagenesslashdia1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="380" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img248.png"
 ALT="\includegraphics[width=4in]{imagenes/dia1.eps}">|; 

$key = q/M;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="$M$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashfig47b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="172" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img184.png"
 ALT="\includegraphics[width=2.5in]{imagenes/fig47b.eps}">|; 

$key = q/{eqnarraystar}a+b&=&K^{2}+varepsilon(rho+1slashrho)+4(K+1)2+a,b&=&4(K+1)^{2}-2K^+2(K+1)varepsilon(rho+1slashrho)+varepsilon^{2}{eqnarraystar};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="422" HEIGHT="52" BORDER="0"
 SRC="|."$dir".q|img255.png"
 ALT="\begin{eqnarray*}
a + b &amp; = &amp; K^{2} + \varepsilon(\rho + 1 /\rho) + 4 (K + 1)\\\\...
...+ 2 + 2 (K + 1) \varepsilon (\rho + 1 /\rho)
+ \varepsilon^{2}
\end{eqnarray*}">|; 

$key = q/K;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$K$">|; 

$key = q/Y_{i+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$Y_{i+2}$">|; 

$key = q/{displaymath}mu=epsilon^{alpha+ibeta}=epsilon^{alpha}(epsilon^{ibeta})=epsilon^{alpha}(mbox{cos}beta+1mbox{sen}beta){displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="276" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="\begin{displaymath}
\mu = \epsilon^{\alpha + i \beta} = \epsilon^{\alpha} (\eps...
...a}) = \epsilon^{\alpha} (\mbox{cos}\beta + 1 \mbox{sen}\beta)
\end{displaymath}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig08.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="244" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="\includegraphics[width=4in]{imagenes/fig08.eps}">|; 

$key = q/{displaymath}XM=1.50F=0.008{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="178" HEIGHT="24" BORDER="0"
 SRC="|."$dir".q|img153.png"
 ALT="\begin{displaymath}XM = 1.50      F = 0.008 \end{displaymath}">|; 

$key = q/i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$i$">|; 

$key = q/kappa;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img263.png"
 ALT="$\kappa$">|; 

$key = q/{displaymath}A=left[array{{ccccccc}frac{A_{0}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{2}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{0}}{m}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="415" HEIGHT="217" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="\begin{displaymath}
A = \left [ \begin{array}{ccccccc}
\frac{A_{0}}{m} &amp; \fra...
...rac{A_{1}}{\sqrt{mM}} &amp; \frac{A_{0}}{m}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig74b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="179" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img237.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig74b.eps}">|; 

$key = q/displaystyle=K^{1}X_{i-2}+KX_{i-1}+2(-K-K^{1})X_{i}+KX_{i+1}+K^{1}X_{i+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="417" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\displaystyle = K^{1}X_{i-2}+KX_{i-1}+2(-K-K^{1})X_{i}+KX_{i+1}+K^{1}X_{i+2}$">|; 

$key = q/{displaymath}left[array{{c}y_{i+2}y_{i+1}y_{i}y_{i-1}array{right]=left[array{{ccht]left[array{{c}y_{i+1}y_{i}y_{i+1}y_{i+2}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="430" HEIGHT="93" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\begin{displaymath}
\left [ \begin{array}{c}
y_{i + 2} \\\\
y_{i + 1} \\\\
y_...
...y_{i} \\\\
y_{i + 1} \\\\
y_{i + 2} \\\\
\end{array} \right ]
\end{displaymath}">|; 

$key = q/{displaymath}midmumid=midin^{ibeta}mid=midmbox{cos}beta+imbox{sen}betamid=mbox{cos}^{2}beta+mbox{sen}^{2}beta=1{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="342" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="\begin{displaymath}
\mid \mu \mid = \mid \in^{i  \beta} \mid = \mid \mbox{cos}...
...en}\beta \mid = \mbox{cos}^{2}\beta + \mbox{sen}^{2}\beta = 1
\end{displaymath}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig64a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="161" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img217.png"
 ALT="\includegraphics[width=2in]{imagenes/fig64a.eps}">|; 

$key = q/ell_{n}mu=varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$\ell_{n}  \mu = \varphi$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig63a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="153" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img214.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig63a.eps}">|; 

$key = q/e^{alpha};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img279.png"
 ALT="$e^{\alpha}$">|; 

$key = q/mu=e^{alpha+pii}=epsilon^{alpha}e^{ipi}=epsilon^{alpha}(mbox{cos}pi+imbox{sen}pi)=-e^{alpha};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$\mu = e^{\alpha + \pi i} = \epsilon^{\alpha} e^{i \pi} = \epsilon^{\alpha}(\mbox{cos} \pi + i  \mbox{sen} \pi) = - e^{\alpha}$">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="287" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img174.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig41.eps}">|; 

$key = q/lambda_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$\lambda_{i}$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig74a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="173" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img236.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig74a.eps}">|; 

$key = q/{displaymath}A=left[array{{cccccccc}frac{-A_{1}-A_{0}}{m}&frac{A_{1}}{sqrt{mM}}&frac{A_{1}}{sqrt{mM}}&frac{-A_{1}-A_{2}}{m}array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="567" HEIGHT="319" BORDER="0"
 SRC="|."$dir".q|img170.png"
 ALT="\begin{displaymath}
A = \left [\begin{array}{cccccccc}
\frac{- A_{1}-A_{0}}{m...
...{\sqrt{mM}} &amp; \frac{-A_{1}
- A_{2}}{m}
\end{array} \right ]
\end{displaymath}">|; 

$key = q/{displaymath}+(K^{2}+varepsilonslashrho+2(K+1)-mu)+mu^{2}K^{2}(varepsilonrho+2K+3)]=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="389" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="\begin{displaymath}
+ (K^{2} + \varepsilon / \rho + 2(K + 1) - \mu) + \mu^{2} K^{2} (\varepsilon \rho + 2K + 3)] = 0
\end{displaymath}">|; 

$key = q/{displaymath}mu^{4}-(a+b)mu^{3}+(2+ab)mu^{2}-(a+b)mu+1=0{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="324" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img254.png"
 ALT="\begin{displaymath}
\mu^{4} - (a + b)\mu^{3} + (2 + a b)\mu^{2} - (a + b)\mu + 1 = 0
\end{displaymath}">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashfig51a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="190" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img192.png"
 ALT="\includegraphics[width=2.5in]{imagenes/fig51a.eps}">|; 

$key = q/A_{1},A_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img151.png"
 ALT="$A_{1}, A_{2}$">|; 

$key = q/lambda;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$\lambda$">|; 

$key = q/displaystyleF_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$\displaystyle F_{i}$">|; 

$key = q/varepsilon,rho;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img262.png"
 ALT="$\varepsilon, \rho$">|; 

$key = q/XMG;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img196.png"
 ALT="$XMG$">|; 

$key = q/{displaymath}-muK^{2}(varepsilonrho+2K+3)-(K^{2}-1)+mu^{2}(K^{2}-1)(varepsilonrho+2K+2-mu)+K^{2}-{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="498" HEIGHT="28" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="\begin{displaymath}
- \mu K^{2} (\varepsilon \rho + 2K + 3) - (K^{2} - 1) + \mu^{2} (K^{2} - 1)(\varepsilon \rho + 2K + 2 - \mu) + K^{2} -
\end{displaymath}">|; 

$key = q/A_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="$A_{2}$">|; 

$key = q/displaystyle+2(K+1)varepsilon(rho+1slashrho)+varepsilon^{2}]-mu[K^{2}+varepsilon(rho+1slashrho)+4(K+1)]+1=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="478" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="$\displaystyle + 2(K + 1) \varepsilon (\rho + 1 / \rho) + \varepsilon^{2}] - \mu
[K^{2} + \varepsilon (\rho + 1 / \rho) + 4(K + 1)] + 1 = 0$">|; 

$key = q/{displaymath}frac{d^{2}Y_{i}}{dt^{2}}=lambda_{i}Y_{i}=frac{A_{2}}{M}Y_{i-2}+frac_{i}+frac{A_{1}}{sqrt{mM}}Y_{i+1}+frac{A_{2}}{M}Y_{i+2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="482" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="\begin{displaymath}
\frac{d^{2}Y_{i}}{dt^{2}} = \lambda_{i} Y_{i} = \frac{A_{2}...
...
+ \frac{A_{1}}{\sqrt{mM}} Y_{i+1} + \frac{A_{2}}{M} Y_{i+2}
\end{displaymath}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig73a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img234.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig73a.eps}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig57.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="383" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img204.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig57.eps}">|; 

$key = q/includegraphics[width=5in]{portavic.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="477" HEIGHT="598" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="\includegraphics[width=5in]{portavic.eps}">|; 

$key = q/includegraphics[width=4.6in]{imagenesslashfig70.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="307" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img229.png"
 ALT="\includegraphics[width=4.6in]{imagenes/fig70.eps}">|; 

$key = q/I+2,I+1,I,I-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="156" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$I+2,  I+1, I,  I-1$">|; 

$key = q/2C=mu+frac{1}{mu}RightarrowC=frac{mu+frac{1}{mu}}{2}=frac{e^{varphi}+e^{-varphi}}{2}=mbox{cos}hvarphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="401" HEIGHT="47" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img260.png"
 ALT="$2C = \mu + \frac{1}{\mu}        \
\Rightarrow        C = \frac{\...
...{1}{\mu}}{2} =
\frac{e^{\varphi} + e^{-\varphi}}{2} = \mbox{cos}  h  \varphi$">|; 

$key = q/K,K^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$K, K^1$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="259" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig18.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="223" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img169.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig40.eps}">|; 

$key = q/F=0.008;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img156.png"
 ALT="$F = 0.008$">|; 

$key = q/C_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="$C_{2}$">|; 

$key = q/mbox{cos}hvarphi=frac{e^{varphi}+e^{-varphi}}{2}>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="151" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img266.png"
 ALT="$\mbox{cos}  h
\varphi = \frac{e^{\varphi} + e^{-\varphi}}{2} &gt; 1$">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$N$">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig61b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="165" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img211.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig61b.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig76b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="184" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img241.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig76b.eps}">|; 

$key = q/{eqnarraystar}a+b&=&K^{2}+varepsilonrho+4(K+1)2+a,b&=&2(K^{2}+4,K+3)+2(K+1)varepsilon,rho+K^{2}{eqnarraystar};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="52" BORDER="0"
 SRC="|."$dir".q|img257.png"
 ALT="\begin{eqnarray*}
a + b &amp; = &amp; K^{2} + \varepsilon  \rho + 4(K + 1)\\\\
2 + a b &amp; = &amp; 2(K^{2} + 4 K + 3) + 2(K + 1) \varepsilon \rho +
K^{2}
\end{eqnarray*}">|; 

$key = q/displaystyle-K(X_{i-1}+X_{i+1}-2X_{i})-K^{1}(X_{i+2}+X_{i-2}-2X_{i});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="366" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle -K (X_{i-1} + X_{i+1} - 2 X_{i}) - K^{1} (X_{i+2} + X_{i-2} - 2X_{i})$">|; 

$key = q/{displaymath}left[array{{cccc}{-K}slash{rho}&(lambdaM-A_{0})slashA_{2}&-Kslash{rho}&-11&0&0&00&1&0&00&0&1&0array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="284" HEIGHT="83" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="\begin{displaymath}
\left [ \begin{array}{cccc}
{-K}/{\rho} &amp; (\lambda M - A_...
...0 \\\\
0 &amp; 1 &amp; 0 &amp; 0 \\\\
0 &amp; 0 &amp; 1 &amp; 0
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="258" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig19.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="310" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig14.eps}">|; 

$key = q/{displaymath}mM=murho^{2}=frac{m}{M}K=frac{A_{1}}{A_{2}}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="282" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="\begin{displaymath}
m M = \mu           \rho^{2} = \frac{m}{M}           K = \frac{A_{1}}{A_{2}}
\end{displaymath}">|; 

$key = q/alpha,beta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="$\alpha, \beta$">|; 

$key = q/varphi=alpha+ipi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="$\varphi = \alpha + i \pi$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="224" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img167.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig38.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig77b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img243.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig77b.eps}">|; 

$key = q/kappa,rho,varepsilon;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img258.png"
 ALT="$\kappa, \rho, \varepsilon$">|; 

$key = q/A_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="$A_1$">|; 

$key = q/includegraphics[width=4.2in]{imagenesslashfig02.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="483" HEIGHT="290" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="\includegraphics[width=4.2in]{imagenes/fig02.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig72a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="174" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img232.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig72a.eps}">|; 

$key = q/{displaymath}frac{d^{2}Y_{i}}{dt^{2}}=lambda_{i}Y_{i}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="41" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="\begin{displaymath}
\frac{d^{2} Y_{i}}{dt^{2}} = \lambda_{i}Y_{i}
\end{displaymath}">|; 

$key = q/{displaymath}T_{d}=left[array{{cccc}K^{2}+frac{(lambdaM-A_{0})}{A_{2}}&frac{-k}{mbdam-A_{0})}{A_{2}}&-Krho&-11&0&0&00&1&0&0array{right]{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="403" HEIGHT="92" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="\begin{displaymath}
T_{d} = \left [ \begin{array}{cccc}
K^{2} + \frac{(\lambda...
...1 \\\\
1 &amp; 0 &amp; 0 &amp; 0 \\\\
0 &amp; 1 &amp; 0 &amp; 0
\end{array} \right ]
\end{displaymath}">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashfig51b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="195" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img193.png"
 ALT="\includegraphics[width=2.5in]{imagenes/fig51b.eps}">|; 

$key = q/A_1+A_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="$A_1 + A_2 $">|; 

$key = q/X_{1},X_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$
X_{1}, X_{2}$">|; 

$key = q/includegraphics[width=4.5in]{imagenesslashfig28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="518" HEIGHT="271" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img154.png"
 ALT="\includegraphics[width=4.5in]{imagenes/fig28.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashfig21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="402" HEIGHT="270" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img143.png"
 ALT="\includegraphics[width=3.5in]{imagenes/fig21.eps}">|; 

$key = q/epsilon^alpha;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$\epsilon^\alpha $">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig61a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="164" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img210.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig61a.eps}">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig50b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="176" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img191.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig50b.eps}">|; 

$key = q/{displaymath}array{{cccccl}mbox{Para}&i=1&mbox{setiene}&Z_{1}&=&T_{M}Z_{0}&i=2&mx{setiene}&Z_{N}&=&T_{M}T_{m}T_{M}T_{m}cdotsZ_{0}array{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="425" HEIGHT="83" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="\begin{displaymath}
\begin{array}{cccccl}
\mbox{Para} &amp; i = 1 &amp; \mbox{se tiene...
...&amp; T_{M}  T_{m}  T_{M}  T_{m} \cdots Z_{0} \\\\
\end{array}
\end{displaymath}">|; 

$key = q/X_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$X_{i}$">|; 

$key = q/{displaymath}array{{cccccccccccc}M_{1}ddot{X}_{1}&=&A_{2}X_{-1}&+&A_{1}X_{0}&+&A&A_{0}X_{N}&+&A_{2}X_{N+1}&+&A_{2}X_{N+2}nonumberarray{{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="559" HEIGHT="146" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="\begin{displaymath}
\begin{array}{cccccccccccc}
M_{1} \ddot{X}_{1} &amp; = &amp; A_{2}...
... + &amp; A_{2} X_{N+1} &amp; + &amp; A_{2} X_{N+2} \nonumber
\end{array}
\end{displaymath}">|; 

$key = q/includegraphics[width=4in]{imagenesslashfig33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="387" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img162.png"
 ALT="\includegraphics[width=4in]{imagenes/fig33.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashfig72b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="242" HEIGHT="188" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img233.png"
 ALT="\includegraphics[width=2.1in]{imagenes/fig72b.eps}">|; 

$key = q/XMG=1.4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="$XMG = 1.4$">|; 

$key = q/{displaymath}C=frac{2(rhovarepsilon+(K+2))pmsqrt{4[(rhovarepsilon+(K+2)^{2}+2rhovarepsilon(K+1)+2(K^{2}+2K+1))]}}{8}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="536" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="\begin{displaymath}
C = \frac{2(\rho\varepsilon + (K + 2)) \pm \sqrt{4[(\rho
\...
...} + 2 \rho \varepsilon (K + 1) + 2 (K^{2}
+ 2K + 1 ))]}}{8}
\end{displaymath}">|; 

$key = q/includegraphics[width=2.3in]{imagenesslashfig46a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="156" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img181.png"
 ALT="\includegraphics[width=2.3in]{imagenes/fig46a.eps}">|; 

$key = q/includegraphics[width=2in]{imagenesslashfig66b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="181" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img222.png"
 ALT="\includegraphics[width=2in]{imagenes/fig66b.eps}">|; 

$key = q/{displaymath}varepsilon=frac{-2rho(K+1-K)pmsqrt{4rho^{2}(C-K+1)-4{4C^{2}-2varepsilon[K^{2}+4(K+1)]+2K^{2}+6K+4}}}{2}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="630" HEIGHT="43" BORDER="0"
 SRC="|."$dir".q|img261.png"
 ALT="\begin{displaymath}
\varepsilon = \frac{-2 \rho (K + 1 - K) \pm \sqrt{4\rho^{2}...
...- 2 \varepsilon[K^{2} + 4(K + 1)] + 2K^{2} + 6 K
+ 4 \}}}{2}
\end{displaymath}">|; 

$key = q/W_{1},W_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.png"
 ALT="$W_{1},  W_{2}$">|; 

1;

