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Title: | On the uniqueness of limit cycles surrounding one or more singularities for Lienard equations | Authors: | DUMORTIER, Freddy Li, CZ |
Issue Date: | 1996 | Publisher: | IOP PUBLISHING LTD | Source: | 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. | Document URI: | http://hdl.handle.net/1942/3364 | DOI: | 10.1088/0951-7715/9/6/006 | ISI #: | A1996VW58500006 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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