Global analysis of a Liénard system with quadratic damping
type: Item
instance of: scholarly article
title: Global analysis of a Liénard system with quadratic damping
zbMATH Open document ID: 1417.34070
DOI: 10.1155/2018/1249620
author: Feng Guo
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc. Every global phase portrait is given as well as the complete global bifurcation diagram. Firstly, the equilibria at finite and infinite of the Liénard system are discussed. The properties of the equilibria are studied. Then, the sufficient and necessary conditions of the system with closed orbits are obtained. The degenerate Bogdanov-Takens bifurcation is studied and the bifurcation diagrams of the system are given.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 7026491
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1249620
OpenAlex ID: W2889027666
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description: scientific article; zbMATH DE number 7026491