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November/December 2019 Chaotic dynamics in a periodically perturbed Liénard system
Duccio Papini, Gabriele Villari, Fabio Zanolin
Differential Integral Equations 32(11/12): 595-614 (November/December 2019).

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

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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.

Information

Published: November/December 2019
First available in Project Euclid: 22 October 2019

zbMATH: 07144905
MathSciNet: MR4021255

Subjects:
Primary: 34C05, 34C15, 34C25

Rights: Copyright © 2019 Khayyam Publishing, Inc.

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Vol.32 • No. 11/12 • November/December 2019
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