Hopf bifurcation analysis of the Lu system

被引：40

作者：

Yu, YG ^{[1
]}

Zhang, SC ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 21卷 / 05期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2003.12.063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new practical method for distinguishing the chaotic, periodic and quasi-periodic orbits, and analysis the Hopf bifurcation using an analytic technique for the U system. As a result, we have further explored the dynamical behaviors. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1215 / 1220

页数：6

共 15 条

[1]

[Anonymous], 2002, CHAOTIC TIME SERIES

[2]

Chen G., 1998, METHODOLOGIES PERSPE

[3] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[4]

Kuznetsov Y.A., 2013, Elements of Applied Bifurcation Theory

[5]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[6]

[7]

LU J, 2002, CHAOS SOLITON FRACT, V14, P1

[8]

LU J, 2002, INT J BIFURCAT CHAOS, V12

[9] Dynamical analysis of a new chaotic attractor [J].

Lu, JH ;

Chen, GR ;

Zhang, SC .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015

[10] A new chaotic attractor coined [J].

Lü, JH ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661

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