Limit cycles of some polynomial Lienard systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Xu, Weijiao¹  Li, Cuiping¹ 

[1] Beihang Univ, Sch Math & Syst Sci, LMIB, Beijing 100191, Peoples R China

关键词: Lienard system;    Homoclinic loop;    Heteroclinic loop;    Melnikov function;   

DOI  :  10.1016/j.jmaa.2011.11.070

来源: Elsevier

【 摘 要 】

In this paper, we study the number of limit cycles of some polynomial Lienard systems. By the Melnikov functions and the methods of Hopf, homoclinic and heteroclinic bifurcation theory, we prove that H(2, 5) >= 3, H(4,5) >= 5, H(6, 5) >= 10, H(8, 5) >= 10. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free