Stability of singular Hopf bifurcations

被引：8
作者：
Yang, LJ [1 ]
Zeng, XW
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 206卷 / 01期
基金：
中国国家自然科学基金;
关键词：
singular Hopf bifurcation; singularly perturbed system; Lyapunov constant; stability constant; stability formula;
D O I：
10.1016/j.jde.2004.08.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A stability formula is given for the singular Hopf bifurcation arising in singularly perturbed systems of the form (x)over dot = epsilonf (x, y, lambda), (y)over dot = g(x, y, lambda) in this paper. The derivation of the formula is based on a reduction technique and on an existing stability formula for Hopf bifurcation. (C) 2004 Elsevier Inc. All rights reserved.
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收藏
页码：30 / 54
页数：25
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