A new four-dimensional hyperchaotic Chen system and its generalized synchronization

被引:0
|
作者
贾立新 [1 ]
戴浩 [1 ]
惠萌 [1 ]
机构
[1] State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi’an Jiaotong University
关键词
hyperchaotic Chen system; generalized synchronization; Lyapunov stability theory;
D O I
暂无
中图分类号
O415.5 [混沌理论]; O231 [控制论(控制论的数学理论)];
学科分类号
070105 ; 070201 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要
Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh-Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method.
引用
收藏
页码:129 / 139
页数:11
相关论文
共 50 条
  • [1] A new four-dimensional hyperchaotic Chen system and its generalized synchronization
    Jia Li-Xin
    Dai Hao
    Hui Meng
    [J]. CHINESE PHYSICS B, 2010, 19 (10)
  • [2] The bound for a class of four-dimensional hyperchaotic system and its synchronization
    Zhang Xiao-Dan
    Cui Li-Juan
    [J]. ACTA PHYSICA SINICA, 2011, 60 (11)
  • [3] A new four-dimensional hyperchaotic system and its circuit simulation
    Tang Liang-Rui
    Li Jing
    Fan Bing
    [J]. ACTA PHYSICA SINICA, 2009, 58 (03) : 1446 - 1455
  • [4] Tracking control and synchronization of four-dimensional hyperchaotic Rossler system
    Wang, Xing-Yuan
    Wu, Xiang-Jun
    [J]. CHAOS, 2006, 16 (03)
  • [5] A New Four-Dimensional Hyperchaotic Lu System and its Adaptive Control
    Dai, Hao
    Jia, Li-xin
    Zhang, Yan-bin
    Shang, Jie
    [J]. 2011 6TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2011, : 973 - 978
  • [6] A new four-dimensional hyperchaotic Lorenz system and its adaptive control
    司刚全
    曹晖
    张彦斌
    [J]. Chinese Physics B, 2011, 20 (01) : 233 - 241
  • [7] A new four-dimensional hyperchaotic Lorenz system and its adaptive control
    Si Gang-Quan
    Cao Hui
    Zhang Yan-Bin
    [J]. CHINESE PHYSICS B, 2011, 20 (01)
  • [8] A new hyperchaotic system and its generalized synchronization
    Li, Chun-Lai
    Xiong, Jian-Bin
    Li, Wen
    [J]. OPTIK, 2014, 125 (01): : 575 - 579
  • [9] The generation and analysis of a new four-dimensional hyperchaotic system
    Wang, Jiezhi
    Chen, Zengqiang
    Yuan, Zhuzhi
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (06): : 1013 - 1024
  • [10] Hopf Bifurcation in a New Four-Dimensional Hyperchaotic System
    Li Xin
    Yan Zhen-Ya
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 64 (02) : 197 - 202