New lower bounds for the Hilbert number of polynomial systems of Lienard type

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Xiong, Yanqin¹  Han, Maoan¹ 

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

关键词: Hilbert number;    Lienard system;    Elementary center;    Melnikov function;   

DOI  :  10.1016/j.jde.2014.05.058

来源: Elsevier

【 摘 要 】

In this paper, we study the maximal number of limit cycles of some kinds of polynomial Lienard systems with arbitrary degree and obtain some new lower bounds for the Hilbert number of the systems, which improve truly the certain existing results. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free