Dynamical analysis of a cubic Lienard system with global parameters: (III)

Release time:2019-11-30

Journal:Nonlinearity

Abstract:Continuing Chen and Chen (2015 Nonlinearity 28 3535) and (2016 Nonlinearity 29 1798) which deal with the cases of two equilibria and three equilibria respectively, in this paper we investigate the global dynamics of a cubic Liénard system with global parameters in the case of exact one equilibrium. After analyzing qualitative properties of all equilibria and judging the number of limit cycles, we give the bifurcation diagram and all global phase portraits. Our method in judging the number of limit cycles is to construct a parameter transformation such that in new parameter space the vector fie

First Author:Chen Hebai

Indexed by:Unit Twenty Basic Research

Correspondence Author:Chen Xingwu

Discipline:数学

Document Type:J

Volume:33

Issue:4

Page Number:1443-1465

Translation or Not:no

Date of Publication:2020-02-14

Included Journals:SCI