Limit cycles and chaos in planar hybrid systems

Fuente: arXiv
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Autores principales: Llibre, Jaume, Santana, Paulo
Formato: Preprint
Publicado: 2024
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author Llibre, Jaume
Santana, Paulo
author_facet Llibre, Jaume
Santana, Paulo
contents In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05151
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Limit cycles and chaos in planar hybrid systems
Llibre, Jaume
Santana, Paulo
Dynamical Systems
In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.
title Limit cycles and chaos in planar hybrid systems
topic Dynamical Systems
url https://arxiv.org/abs/2407.05151