Local bifurcations of the Chen system

被引：84

作者：

Lu, JH ^{[1
]}

Zhou, TS

Chen, GR

Zhang, SC

机构：

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

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 10期

关键词：

Chen system; local bifurcation; supercritical; subcritical;

D O I：

10.1142/S0218127402005819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a new practical method for distinguishing chaotic, periodic and quasiperiodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

引用

页码：2257 / 2270

页数：14

共 27 条

[11] Dynamical analysis of a new chaotic attractor
Lu, JH
Chen, GR
Zhang, SC
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05): : 1001 - 1015
[12] Controlling in between the Lorenz and the Chen systems
Lü, JH
Chen, GR
Zhang, SC
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (06): : 1417 - 1422
[13] A new chaotic attractor coined
Lü, JH
Chen, GR
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03): : 659 - 661
[14] The compound structure of Chen's attractor
Lü, JH
Zhou, TS
Chen, GR
Zhang, SC
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (04): : 855 - 858
[15] Controlling Chen's chaotic attractor using backstepping design based on parameters identification
Lü, JH
Zhang, SC
[J]. PHYSICS LETTERS A, 2001, 286 (2-3) : 148 - 152
[16] SANCHEZ EN, 2000, P 8 IEEE MED C CONTR
[17] Mathematics - The Lorenz attractor exists
Stewart, I
[J]. NATURE, 2000, 406 (6799) : 948 - 949
[18] Bifurcation analysis of Chen's equation
Ueta, T
Chen, GR
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (08): : 1917 - 1931
[19] Ueta T., 2000, P IEEE INT S CIRC SY, VV, P505, DOI DOI 10.1109/ISCAS.2000.857482
[20] Vaneek A., 1996, CONTROL SYSTEMS LINE

← 1 2 3 →