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DOI码：

10.1016/j.jmaa.2020.124810

发表刊物：

Journal of Mathematical Analysis and Applications

摘要：

In recent decades much attention has been paid to polynomial Liénard systems. Cubic ones are such systems with a cubic restoring and quadratic damping; for example, the famous FitzHugh-Nagumo system can be transformed into a cubic Liénard system. For the three-parameter family of cubic Liénard systems, the case with a positive restoring leading coefficient was solved. In this paper we will investigate the case when the leading coefficient of the restoring is negative, we will show that saddle-node bifurcations, pitchfork bifurcations, Hopf bifurcations, homoclinic bifurcations, and heteroclinic bifurcations will occur through a global analysis and present a global bifurcation diagram with global phase portraits depicted in Poincaré disks. Finally, some main results are demonstrated by numerical simulations.

合写作者：

Zhu Huaiping*

第一作者：

Chen Hebai

论文类型：

期刊论文

学科门类：

数学

文献类型：

J

是否译文：

否

发表时间：

2020-11-30

收录刊物：

SCI