NDLI: On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations

Content Provider	Scilit
Author	Dumortier, Freddy Li, Chengzhi
Copyright Year	1996
Description	Journal: Nonlinearity In this paper we prove a theorem on the uniqueness of limit cycles surrounding one or more singularities for Liénard equations. By using this theorem we give a positive answer to the conjecture in Dumortier and Rousseau (1990 Nonlinearity 3 1015 - 39), completing the classification of the cubic Liénard equations with linear damping. It also finishes the study of the generic three-parameter unfoldings of the nilpotent focus in the plane.
Related Links	http://iopscience.iop.org/article/10.1088/0951-7715/9/6/006/pdf
Ending Page	1500
Page Count	12
Starting Page	1489
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/0951-7715/9/6/006
Journal	Nonlinearity
Issue Number	6
Volume Number	9
Language	English
Publisher	IOP Publishing
Publisher Date	1996-11-01
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Cycles Surrounding
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations