SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL

被引:10
|
作者
Liu, Zhi-Yu [2 ]
Liu, Chia-Ju [3 ]
Ho, Ming-Chung [1 ]
Hung, Yao-Chen [4 ]
Hsu, Tzu-Fang [5 ]
Jiang, I-Min [2 ]
机构
[1] Natl Kaohsiung Normal Univ, Dept Phys, Kaohsiung 824, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Phys, Kaohsiung 804, Taiwan
[3] Natl Kaohsiung Normal Univ, Grad Inst Sci Educ, Kaohsiung 824, Taiwan
[4] Acad Sinica, Inst Phys, Taipei 115, Taiwan
[5] Natl PingTung Univ Educ, Dept Appl Phys, Pingtung 900, Taiwan
来源
关键词
Adaptive control; hyperchaotic system; synchronization;
D O I
10.1142/S0218127408022688
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T. N.C. hyperchaotic oscillator is used as the master system, and the Rossler system is used as the slave system. Numerical simulations verify these results. Additionally, the effect of noise is investigated by measuring the mean squared error (MSE) of two systems.
引用
收藏
页码:3731 / 3736
页数:6
相关论文
共 50 条
  • [31] Practical adaptive synchronization of a class of uncertain chaotic systems
    Samuel Bowong
    Jean Jules Tewa
    [J]. Nonlinear Dynamics, 2009, 56 : 57 - 68
  • [32] Practical adaptive synchronization of a class of uncertain chaotic systems
    Bowong, Samuel
    Tewa, Jean Jules
    [J]. NONLINEAR DYNAMICS, 2009, 56 (1-2) : 57 - 68
  • [33] Adaptive synchronization of a class of chaotic systems with uncertain parameters
    Zhang Ruo-Xun
    Gang, Tian
    Ping, L.
    Yang Shi-Ping
    [J]. ACTA PHYSICA SINICA, 2008, 57 (04) : 2073 - 2080
  • [34] Adaptive Projective Lag Synchronization of the Uncertain Chaotic Systems
    Wang, Hui
    Lu, Yang
    [J]. HIGH PERFORMANCE NETWORKING, COMPUTING, AND COMMUNICATION SYSTEMS, 2011, 163 : 600 - 607
  • [35] Robust adaptive synchronization of uncertain unified chaotic systems
    Koofigar, Hamid R.
    Hosseinnia, Saeed
    Sheikholeslam, Farid
    [J]. NONLINEAR DYNAMICS, 2010, 59 (03) : 477 - 483
  • [36] Nonlinear Optimal Control for the Synchronization of Chaotic and Hyperchaotic Finance Systems
    Rigatos, G.
    Siano, P.
    Loia, V.
    Ademi, S.
    Ghosh, T.
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017), 2017, 1906
  • [37] Adaptive synchronization of two different uncertain chaotic systems
    Yassen, MT
    [J]. PHYSICS LETTERS A, 2005, 337 (4-6) : 335 - 341
  • [38] Dual synchronization of chaotic and hyperchaotic systems
    Othman, A. Almatroud
    Noorani, M. S. M.
    Al-Sawalha, M. Mossa
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4666 - 4677
  • [39] Optimized synchronization of chaotic and hyperchaotic systems
    Bryant, Paul H.
    [J]. PHYSICAL REVIEW E, 2010, 82 (01)
  • [40] Adaptive synchronization between different hyperchaotic systems with fully uncertain parameters
    Jian Huang
    [J]. PHYSICS LETTERS A, 2008, 372 (27-28) : 4799 - 4804