Projective-dual synchronization in delay dynamical systems with time-varying coupling delay

被引:16
|
作者
Ghosh, Dibakar [1 ]
机构
[1] Dinabandhu Andrews Coll, Dept Math, Kolkata 700084, W Bengal, India
关键词
Dual synchronization; Variable time delay; Projective synchronization; Nonlinear observer design; CHAOTIC BEHAVIOR; OSCILLATORS; PERIODICITY;
D O I
10.1007/s11071-011-9945-1
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The existence of projective-dual-anticipating, projective-dual, and projective-dual-lag synchronization in a coupled time-delayed systems with modulated delay time is investigated via nonlinear observer design approach. Transition from projective-dual-anticipating to projective-dual synchronization and from projective-dual to projective-dual-lag synchronization as a function of variable coupling delay tau (p) (t) is discussed. Using Krasovskii-Lyapunov stability theory, a general condition for projective-dual synchronization is derived. Numerical simulations on the chaotic Ikeda and Mackey-Glass systems are given to demonstrate the effectiveness of the theoretical results.
引用
收藏
页码:717 / 730
页数:14
相关论文
共 50 条
  • [1] Projective-dual synchronization in delay dynamical systems with time-varying coupling delay
    Dibakar Ghosh
    Nonlinear Dynamics, 2011, 66 : 717 - 730
  • [2] Projective synchronization in a driven-response dynamical network with coupling time-varying delay
    Zheng, Song
    NONLINEAR DYNAMICS, 2012, 69 (03) : 1429 - 1438
  • [3] Projective synchronization in a driven-response dynamical network with coupling time-varying delay
    Song Zheng
    Nonlinear Dynamics, 2012, 69 : 1429 - 1438
  • [4] Hybrid time-varying delay projective synchronization in complex dynamical networks
    Wei, Qiang
    Xie, Cheng-jun
    Liang, Yi
    Lin, Da
    Wang, Bo
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2017, 39 (09) : 1339 - 1345
  • [5] Projective synchronization in drive-response dynamical networks of partially linear systems with time-varying coupling delay
    Sun, Mei
    Zeng, Changyan
    Tian, Lixin
    PHYSICS LETTERS A, 2008, 372 (46) : 6904 - 6908
  • [6] Adaptive projective synchronization in complex networks with time-varying coupling delay
    Zheng, Song
    Bi, Qinsheng
    Cai, Guoliang
    PHYSICS LETTERS A, 2009, 373 (17) : 1553 - 1559
  • [7] Generalized Projective Synchronization between Two Complex Networks with Time-Varying Coupling Delay
    Sun Mei
    Zeng Chang-Yan
    Tian Li-Xin
    CHINESE PHYSICS LETTERS, 2009, 26 (01)
  • [8] Fault estimation and synchronization control for complex dynamical networks with time-varying coupling delay
    Sakthivel, Rathinasamy
    Sakthivel, Ramalingam
    Kwon, Oh-Min
    Kaviarasan, Boomipalagan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (06) : 2205 - 2221
  • [9] Local exponential synchronization in complex dynamical networks with time-varying delay and hybrid coupling
    Wang, Junyi
    Zhang, Huaguang
    Wang, Zhanshan
    Wang, Binrui
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 16 - 32
  • [10] Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay
    Baocheng Li
    Nonlinear Dynamics, 2014, 76 : 1603 - 1610