Let the following system in $R^2$ \begin{equation} (S) \left\{ \begin{array}{l c } \overset{.}{\rho}=\rho(1-\rho) \\ \overset{.}{\theta}=\sin^2(\frac{\theta}{2}) \end{array} \right. \end{equation} study the stability of the point $(0,0)$ ? in particular i search the Lyaponov function.
2026-03-25 11:10:55.1774437055
Lyaponov function in dynamic system (in polar cordonates)
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