A class of quadratic reversible systems with a center of genus one

Yanqin Xiong and Tonghua Zhang

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 119-129

Abstract: In this paper, we first investigate global phase portraits of a class of quadratic reversible systems with a center of genus one, and obtain six possible global phase portraits. We then perturb the phase portrait with a non-Morsean point, by using nth order polynomials, n=1,2,…,7. For the perturbed systems, we study the limit cycle bifurcation problem, obtaining some new results.

Keywords: Phase portrait; Homoclinic loop; Bifurcation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:119-129

DOI: 10.1016/j.chaos.2018.06.037

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