Generalized synchronization of continuous dynamical system

被引:3
|
作者
Zhang Gang
Liu Zeng-rong [1 ]
Ma Zhong-jun
机构
[1] Shanghai Univ, Inst Syst Biol, Shanghai 200444, Peoples R China
[2] Shijiazhuang Coll, Dept Math, Shijiazhuang 050035, Peoples R China
[3] Shanghai Univ, Coll Sci, Shanghai 200444, Peoples R China
基金
中国国家自然科学基金;
关键词
generalized synchronization; differentiable generalized synchronization; Liapunov function;
D O I
10.1007/s10483-007-0203-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Generalized synchronization between two continuous dynamical systems is discussed. By exploring the Liapunov stability theory and constructing appropriately unidirectional coupling term, a sufficient condition for determining the generalized synchronization between continuous systems is proved. Two examples are used to show the effectiveness of this result.
引用
收藏
页码:157 / 162
页数:6
相关论文
共 50 条
  • [31] Generalized outer synchronization between two uncertain dynamical networks
    Weigang Sun
    Shixing Li
    Nonlinear Dynamics, 2014, 77 : 481 - 489
  • [32] Generalized synchronization in complex dynamical networks via adaptive couplings
    Liu, Hui
    Chen, Juan
    Lu, Jun-an
    Cao, Ming
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (08) : 1759 - 1770
  • [33] Synchronization of Continuous Dynamical Networks with Discrete-Time Communications
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    Wen, Changyun
    Guan, Zhi-Hong
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (12): : 1979 - 1986
  • [34] Generalized projective synchronization for a class of continuous chaotic systems
    Zhou, Yafei
    Zhang, Dong
    INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 258 - 261
  • [35] Controlling chaos and response of dynamical system by synchronization
    Qin, Weiyang
    Yang, Yongfen
    Kang, Zhaohui
    Ren, Xingmin
    CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1466 - 1473
  • [36] Generalized synchronization: A modified system approach
    Hramov, AE
    Koronovskii, AA
    PHYSICAL REVIEW E, 2005, 71 (06):
  • [37] Impulsive generalized synchronization of chaotic system
    Zhang Rong
    Xu Zhen-Yuan
    He Xue-Ming
    CHINESE PHYSICS, 2007, 16 (07): : 1912 - 1917
  • [38] A generalized scheme for designing multistable continuous dynamical systems
    SANTINATH PAL
    BANSHIDHAR SAHOO
    SWARUP PORIA
    Pramana, 2016, 86 : 1183 - 1193
  • [39] A generalized scheme for designing multistable continuous dynamical systems
    Pal, Santinath
    Sahoo, Banshidhar
    Poria, Swarup
    PRAMANA-JOURNAL OF PHYSICS, 2016, 86 (06): : 1183 - 1193
  • [40] Global asymptotical stability and generalized synchronization of phase synchronous dynamical networks
    Xu, ShiYun
    Yang, Ying
    NONLINEAR DYNAMICS, 2010, 59 (03) : 485 - 496