Hopf bifurcation of the generalized Lorenz canonical form

被引：12
作者：
Li, Tiecheng [1 ]
Chen, Guanrong
Tang, Yun
Yang, Lijun
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2007年 / 47卷 / 04期
基金：
中国国家自然科学基金;
关键词：
chaos; Lorenz system; canonical form; Hopf bifurcation;
D O I：
10.1007/s11071-006-9036-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Hopf bifurcation of a unified chaotic system - the generalized Lorenz canonical form (GLCF) - is investigated. Based on rigorous mathematical analysis and symbolic computations, some conditions for stability and direction of the periodic obits from the Hopf bifurcation are derived.
引用
收藏
页码：367 / 375
页数：9
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