Complex dynamical behaviors of the chaotic Chen's system

被引：97
|
作者：
Zhou, TS [1 ]
Tang, Y
Chen, GR
机构：
[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Chinese Acad Sci, Beijing 100080, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 09期
关键词：
chaos; Chen's system; Chen's attractor; trajectory;
D O I：
10.1142/S0218127403008089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the complex dynamical behaviors of the chaotic trajectories of Chen's system are analyzed in detail, with its precise bound derived for the first time. In particular, it is rigorously proved that all nontrivial trajectories of the system always travel alternatively through two specific Poincare projections for infinitely many times. The results provide an insightful understanding of the complex topological structure of Chen's chaotic attractor.
引用
收藏
页码：2561 / 2574
页数：14
相关论文
共 50 条
  • [1] Chaos control of Chen chaotic dynamical system
    Yassen, MT
    CHAOS SOLITONS & FRACTALS, 2003, 15 (02) : 271 - 283
  • [2] The optimal control of Chen chaotic dynamical system
    Yassen, MT
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 131 (01) : 171 - 180
  • [3] Controllability and stability of the perturbed Chen chaotic dynamical system
    Plienpanich, T
    Niamsup, P
    Lenbury, Y
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) : 927 - 947
  • [4] Dynamical behaviors of a unified chaotic system
    Lü, JH
    Chen, GR
    Yu, XH
    Zhang, SC
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 115 - 124
  • [5] Dynamical behaviors of a chaotic system with no equilibria
    Wei, Zhouchao
    PHYSICS LETTERS A, 2011, 376 (02) : 102 - 108
  • [6] Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
    Hegazi, A. S.
    Matouk, A. E.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1938 - 1944
  • [7] Nonfeedback control of Chen's chaotic system
    Chen, Long
    Wang, De-Shi
    ACTA PHYSICA SINICA, 2007, 56 (01) : 91 - 94
  • [8] The adaptive control of Chen's chaotic system
    Guan, XP
    Fan, ZP
    Peng, HP
    Wang, YQ
    ACTA PHYSICA SINICA, 2001, 50 (11) : 2108 - 2111
  • [9] Adaptive control of Chen's chaotic system
    Guan, X.P.
    Fan, Z.P.
    Peng, H.P.
    Wang, Y.Q.
    Wuli Xuebao/Acta Physica Sinica, 2001, 50 (11):
  • [10] Synchronization of van der Pol oscillator and Chen chaotic dynamical system
    Elabbasy, E. M.
    EI-Dessoky, M. M.
    CHAOS SOLITONS & FRACTALS, 2008, 36 (05) : 1425 - 1435
12345