Non-smooth bifurcation analysis of Chen system via impulsive force

被引：7
|
作者：
Jiang Hai-Bo [1 ,2 ]
Zhang Li-Ping [1 ]
Chen Zhang-Yao [2 ]
Bi Qin-Sheng [2 ]
机构：
[1] Yancheng Teachers Univ, Sch Math, Yancheng 224002, Peoples R China
[2] Jiangsu Univ, Fac Civil Engn & Mech, Zhenjiang 212013, Peoples R China
来源：
ACTA PHYSICA SINICA | 2012年 / 61卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Chen system; impulse; non-smooth bifurcation; chaos; PERIODIC-SOLUTIONS; CHAOS;
D O I：
10.7498/aps.61.080505
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The complex dynamics of Chen system via impulsive force is investigated in this paper. The non-smooth bifurcation of Chen system via impulsive force is analyzed. The system can evolve to chaos by the cascading of period-doubling bifurcations. Besides, the system can evolve to chaos immediately by saddle-node bifurcations from period solutions. Finally, the Floquet theory is used to explore the non-smooth bifurcation mechanism for the periodic solutions.
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页数：8
相关论文
共 21 条
  • [1] [Anonymous], IEEE INT S CIRC SYST
  • [2] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [3] Chen GR, 2003, DYNAMICAL ANAL CONTR
  • [4] Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
    Georgescu, Paul
    Zhang, Hong
    Chen, Lansun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 675 - 687
  • [5] Non-smooth bifurcation analysis of a piecewise linear chaotic circuit
    Ji Ying
    Bi Qin-Sheng
    [J]. ACTA PHYSICA SINICA, 2010, 59 (11) : 7612 - 7617
  • [6] Jiang GR, 2009, CHINESE PHYS B, V18, P5235, DOI 10.1088/1674-1056/18/12/021
  • [7] Jiang GR, 2008, CHINESE PHYS B, V17, P4114, DOI 10.1088/1674-1056/17/11/026
  • [8] Robust fuzzy control of nonlinear fuzzy impulsive systems with time-varying delay
    Jiang, H. B.
    Yu, J. J.
    Zhou, C. G.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (08): : 654 - 661
  • [9] [金俐 Jin Li], 2004, [应用力学学报, Chinese Journal of Applied Mechanics], V21, P21
  • [10] BIFURCATION OF PERIODIC RESPONSES IN FORCED DYNAMIC NONLINEAR CIRCUITS - COMPUTATION OF BIFURCATION VALUES OF THE SYSTEM PARAMETERS
    KAWAKAMI, H
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1984, 31 (03): : 248 - 260
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