Chaos switch-synchronization for a class of 4-D chaotic systems

被引:23
|
作者
Liu Yang-Zheng [1 ]
Jiang Chang-Sheng
Lin Chang-Sheng
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
[2] Nanjing Inst Technol, Inst Nonlinear Phys, Nanjing 210013, Peoples R China
关键词
nonlinear feedback control; chaos switch-synchronization; the 4-D chaotic system;
D O I
10.7498/aps.56.707
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A class of switchable four-dimensional chaotic systems is built by adding an additional state to the three-order Lorenz system or Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the chaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the class of switchable four-dimensional chaos systems. A method of chaos switch-synchronization between several chaotic systems based on nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of these systems are determined and the range of available feedback gain is derived.
引用
收藏
页码:707 / 712
页数:6
相关论文
共 21 条
  • [1] CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS
    CUOMO, KM
    OPPENHEIM, AV
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (01) : 65 - 68
  • [2] GONG XF, 1999, CHAOS SOLITON FRACT, V11, P1231
  • [3] Lian KY, 2000, IEEE T CIRCUITS-I, V47, P1418, DOI 10.1109/81.883341
  • [4] A new chaotic attractor
    Liu, CX
    Liu, T
    Liu, L
    Liu, K
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (05) : 1031 - 1038
  • [5] Chaos synchronization between the Sprott-B and Sprott-C with linear coupling
    Liu, YZ
    Fei, SM
    [J]. ACTA PHYSICA SINICA, 2006, 55 (03) : 1035 - 1039
  • [6] Synchronization in the Genesio-Tesi and Coullet systems with nonlinear feedback controlling
    Liu, YZ
    Fei, SM
    [J]. ACTA PHYSICA SINICA, 2005, 54 (08) : 3486 - 3490
  • [7] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
  • [8] 2
  • [9] Lu JG, 2006, CHINESE PHYS, V15, P83, DOI 10.1088/1009-1963/15/1/013
  • [10] Coupled synchronization of the unified chaotic system
    Min, FH
    Wang, ZQ
    [J]. ACTA PHYSICA SINICA, 2005, 54 (09) : 4026 - 4030