Hopf bifurcations by perturbing a class of reversible quadratic systems

Huihui Zhang and Yanqin Xiong

Chaos, Solitons & Fractals, 2023, vol. 170, issue C

Abstract: This paper first investigates the dynamical behavior of a class of reversible quadratic systems, providing all possible phase portraits on the plane. Then, we use generalized Melnikov function method to study the Hopf bifurcation of reversible quadratic systems under the perturbation of piecewise quadratic systems, finding 4 more limit cycles than the smooth case.

Keywords: Hopf bifurcation; Reversible system; Melnikov function (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002102

DOI: 10.1016/j.chaos.2023.113309

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