Journal Article

Limit cycles and chaos in planar hybrid systems

Communications in Nonlinear Science and Numerical Simulation (2025) 140
DOI: 10.1016/j.cnsns.2024.108382
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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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Llibre, J., & Santana, P. (2025). Limit cycles and chaos in planar hybrid systems. Communications in Nonlinear Science and Numerical Simulation, 140. https://doi.org/10.1016/j.cnsns.2024.108382

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