Data-driven reconstruction of chaotic dynamical equations: the Hénon-Heiles type system

A. M. Escobar-Ruiz, L. Jiménez-Lara, P. M. Juárez-Florez +3

In this study, the classical two-dimensional potential $V_N=\frac{1}{2}m{\omega }^2{r}^2+\frac{1}{N}{r}^N\sin (N\theta )$, $N\in {\mathbb{Z}}^{+}$, is considered. At $N=1,2$, the system i…