Bifurcation of limit cycles near polycycles with n vertices

被引：19

作者：

Han, MA ^{[1
]}

Wu, YH ^{[1
]}

Bi, P ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2004.02.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the study of Hilbert 16th problem the most difficult part is to find the maximal number of limit cycles appearing near a polycycle by perturbations. In this paper we study the bifurcation of limit cycles near a polycycle with n hyperbolic saddle points. We obtain a sufficient condition for the polycycle to generate at least n limit cycles. We also establish a necessary and sufficient condition for the existence of a separatrix connecting any two saddle points. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：383 / 394

页数：12

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