Global Analysis of a Liénard System with Quadratic Damping
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Feng, Guo. 2018. Global Analysis of a Liénard System with Quadratic Damping. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152248
Modern Language Association (MLA)
Feng, Guo. Global Analysis of a Liénard System with Quadratic Damping. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1152248
American Medical Association (AMA)
Feng, Guo. Global Analysis of a Liénard System with Quadratic Damping. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152248
