Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters

被引:21
|
作者
Al-sawalha, M. Mossa [1 ]
Noorani, M. S. M. [2 ]
机构
[1] Univ Hail, Dept Math, Fac Sci, Hail, Saudi Arabia
[2] Univ Kebangsaan Malaysia, Sch Math Sci, Ctr Modelling & Data Anal, Ukm Bangi 43600, Selangor, Malaysia
关键词
Reduced-order; Anti-synchronization; Adaptive control; Unknown parameters; ADAPTIVE SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; SCHEME;
D O I
10.1016/j.cnsns.2011.07.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lu system (third-order), theoretical analysis and numerical simulations are shown to verify the results. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1908 / 1920
页数:13
相关论文
共 50 条
  • [1] Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Noorani, M. S. M.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) : 3022 - 3034
  • [2] Adaptive anti-synchronization of chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Noorani, M. S. M.
    Al-dlalah, M. M.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (10) : 3234 - 3244
  • [3] Adaptive add order synchronization and anti-synchronization of fractional order chaotic systems with fully unknown parameters
    Al-sawalha, M. Mossa
    Ghazel, M.
    Ababneh, O. Y.
    Shoaib, M.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2592 - 2606
  • [4] Reduced-order synchronization of chaotic systems with parameters unknown
    Ho, MC
    Hung, YC
    Liu, ZY
    Jiang, IM
    [J]. PHYSICS LETTERS A, 2006, 348 (3-6) : 251 - 259
  • [5] Adaptive added-order anti-synchronization of chaotic systems with fully unknown parameters
    Shi, Xue Rong
    Wang, Zuo Lei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (05) : 1711 - 1717
  • [6] Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems
    Srivastava, Mayank
    Agrawal, Saurabh K.
    Das, Subir
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1504 - 1513
  • [7] Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters
    Al-Sawalha, Ayman
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1926 - 1932
  • [8] ANTI-SYNCHRONIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS
    Chen, Baoying
    Wang, Junwei
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2010, 6 (02): : 89 - 100
  • [9] Reduced-Order Anti-Synchronization of Chaotic Genesio and Hyper-Chaotic Chen Systems
    Li, Yanhua
    Lu, Xiuxia
    Li, Zhanguo
    Li, Bingjun
    [J]. PROCEEDINGS OF 2012 7TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION, VOLS I-VI, 2012, : 986 - 989
  • [10] Reduced-order synchronization of fractional order chaotic systems with fully unknown parameters using modified adaptive control
    Al-Sawalha, M. Mossa
    Shoaib, M.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1815 - 1825