Global bifurcation studies of a cubic Liénard system
发布时间：2020-12-01
点击次数：
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