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|Title: ||On the uniqueness of limit cycles surrounding one or more singularities for Lienard equations|
|Authors: ||DUMORTIER, Freddy|
|Issue Date: ||1996|
|Publisher: ||IOP PUBLISHING LTD|
|Citation: ||NONLINEARITY, 9(6). p. 1489-1500|
|Abstract: ||In this paper we prove a theorem on the uniqueness of limit cycles surrounding one or more singularities for Lienard 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 Lienard equations with linear damping. It also finishes the study of the generic three-parameter unfoldings of the nilpotent focus in the plane.|
|Notes: ||BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA. BEIJING UNIV,INST MATH,BEIJING 100871,PEOPLES R CHINA.Dumortier, F, LIMBURGS UNIV CTR,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM.|
|ISI #: ||A1996VW58500006|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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