Abstract
We prove the existence of infinitely many periodic solutions, as well as the presence of chaotic dynamics, for a periodically perturbed planar Liénard system of the form $\dot{x} = y - F(x) + p(\omega t),\; \dot{y} = - g(x)$. We consider the case in which the perturbing term is not necessarily small. Such a result is achieved by a topological method, that is by proving the presence of a horseshoe structure.
Citation
Duccio Papini. Gabriele Villari. Fabio Zanolin. "Chaotic dynamics in a periodically perturbed Liénard system." Differential Integral Equations 32 (11/12) 595 - 614, November/December 2019. https://doi.org/10.57262/die/1571731511