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：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 12期
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
  • [1] Adaptive dual synchronization of chaotic and hyperchaotic systems with fully uncertain parameters
    Othman, A. Almatroud
    Noorani, M. S. M.
    Al-Sawalha, M. Mossa
    [J]. OPTIK, 2016, 127 (19): : 7852 - 7864
  • [2] Feedback and adaptive control and synchronization of a set of chaotic and hyperchaotic systems
    Tao, Chaohai
    Liu, Xuefei
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (04) : 1572 - 1581
  • [3] Adaptive impulsive synchronization of a class of chaotic and hyperchaotic systems
    Li, Chunlai
    Tong, Yaonan
    Li, Hongmin
    Su, Kalin
    [J]. PHYSICA SCRIPTA, 2012, 86 (05)
  • [4] Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters
    Jian Liu
    Shutang Liu
    Chunhua Yuan
    [J]. Nonlinear Dynamics, 2015, 79 : 1035 - 1047
  • [5] Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters
    Liu, Jian
    Liu, Shutang
    Yuan, Chunhua
    [J]. NONLINEAR DYNAMICS, 2015, 79 (02) : 1035 - 1047
  • [6] Synchronization of chaotic and hyperchaotic systems
    Itoh, M
    Tauchi, T
    Yang, T
    Chua, LO
    [J]. IECON 2000: 26TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1-4: 21ST CENTURY TECHNOLOGIES AND INDUSTRIAL OPPORTUNITIES, 2000, : 2407 - 2412
  • [7] Adaptive impulsive synchronization of uncertain chaotic systems
    Chen, Yen-Sheng
    Hwang, Robert R.
    Chang, Chien-Cheng
    [J]. PHYSICS LETTERS A, 2010, 374 (22) : 2254 - 2258
  • [8] Adaptive synchronization of chaotic systems with uncertain parameters
    Khademian, Behzad
    Haeri, Mohammad
    [J]. 2006 SICE-ICASE INTERNATIONAL JOINT CONFERENCE, VOLS 1-13, 2006, : 1289 - +
  • [9] Fuzzy adaptive synchronization of uncertain chaotic systems
    Kim, JH
    Park, CW
    Kim, E
    Park, M
    [J]. PHYSICS LETTERS A, 2005, 334 (04) : 295 - 305
  • [10] Adaptive synchronization of a class of uncertain chaotic systems
    Bowong, Samuel
    Dimi, Jean Luc
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (02): : 235 - 248
12345