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Nine Limit Cycles in a 5-Degree Polynomials Liénard System
Joint Authors
Cai, Junning
Wei, Minzhi
Zhu, Hongying
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this article, we study the limit cycles in a generalized 5-degree Liénard system.
The undamped system has a polycycle composed of a homoclinic loop and a heteroclinic loop.
It is proved that the system can have 9 limit cycles near the boundaries of the period annulus of the undamped system.
The main methods are based on homoclinic bifurcation and heteroclinic bifurcation by asymptotic expansions of Melnikov function near the singular loops.
The result gives a relative larger lower bound on the number of limit cycles by Poincaré bifurcation for the generalized Liénard systems of degree five.
American Psychological Association (APA)
Cai, Junning& Wei, Minzhi& Zhu, Hongying. 2020. Nine Limit Cycles in a 5-Degree Polynomials Liénard System. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144458
Modern Language Association (MLA)
Cai, Junning…[et al.]. Nine Limit Cycles in a 5-Degree Polynomials Liénard System. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1144458
American Medical Association (AMA)
Cai, Junning& Wei, Minzhi& Zhu, Hongying. Nine Limit Cycles in a 5-Degree Polynomials Liénard System. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144458
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144458