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Display information for equation id:math.1356.118 on revision:1356
* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1356.118)
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\begin{align}
& \bar{\varpi }{{*}^{(3)}}=\left( \begin{matrix}
0 & 0 & \omega \\
\end{matrix} \right): \\
& 0=\det (A-\lambda 1)=\left| \begin{matrix}
-\lambda & -{{k}_{1}}\omega & 0 \\
{{k}_{2}}\omega & -\lambda & {{0}_{{}}} \\
0 & 0 & -\lambda \\
\end{matrix} \right|=-\lambda \left( {{\lambda }^{2}}+{{k}_{1}}{{k}_{2}}{{\omega }^{2}} \right) \\
& \Rightarrow {{\lambda }_{1}}^{(3)}=0,{{\lambda }_{2/3}}^{(2)}=\pm i\omega \sqrt{{{k}_{1}}{{k}_{2}}} \\
\end{align}
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