×

zbMATH — the first resource for mathematics

Chaotic dynamics in a periodically perturbed Liénard system. (English) Zbl 1463.34163
In this paper, the authors study a periodically perturbed planar Liénard system and prove the existence of infinitely many periodic solutions and the presence of chaotic dynamics for this system. They also 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.

MSC:
34C28 Complex behavior and chaotic systems of ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
37C60 Nonautonomous smooth dynamical systems
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
PDF BibTeX XML Cite
References:
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.