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Chaotic dynamics in a periodically perturbed Liénard system

Papini D.
•
Villari G.
•
Zanolin F.
2019
  • journal article

Periodico
DIFFERENTIAL AND INTEGRAL EQUATIONS
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 x' = y−F(x)+p(ωt), 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.
WOS
WOS:000499762100001
Archivio
http://hdl.handle.net/11390/1175130
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85075545174
https://projecteuclid.org/download/pdf_1/euclid.die/1571731511
Diritti
closed access
Soggetti
  • Liénard system

  • topological horseshoe...

  • periodic solution

  • chaotic dynamics.

Visualizzazioni
4
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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