Suppose I have a system of differential equations $\dot {\vec x} = \vec f(\vec x)$, and that there is an equilibrium point $\vec x = 0$. Moreover, suppose I know the Lyapunov exponents of the equilibrium $\vec x = 0$. Is there a way to calculate the Lyapunov function $V(\vec x)$ given the Lyapunov exponents?
2026-03-27 01:13:24.1774574004
Lyapunov Exponents vs Lyapunov Function
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