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

作者：Xiong, Yanqin^*; Zhang, Tonghua

来源：Chaos Solitons & Fractals, 2018, 114: 119-129.

DOI：10.1016/j.chaos.2018.06.037

• Phase portrait
• Homoclinic loop
• Bifurcation

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.

• 出版日期2018-9
• 单位南京信息工程大学