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arXiv · 2407.05151

Limit cycles and chaos in planar hybrid systems

Jaume Llibre·Paulo Santana
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Abstract

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.

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Jaume Llibre, Paulo Santana. 2024-07-06. Limit cycles and chaos in planar hybrid systems. https://doi.org/10.1016/j.cnsns.2024.108382

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