The effect of noise on the complete synchronization of two bidirectionally coupled piecewise linear chaotic systems

被引：14
|
作者：
Xiao, Yuzhu [1 ]
Xu, Wei [1 ]
Li, Xiuchun [1 ]
Tang, Sufang [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源：
CHAOS | 2009年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
chaos; noise; stochastic processes; synchronisation; LAG SYNCHRONIZATION; NEURAL-NETWORKS; OSCILLATORS; PHASE;
D O I：
10.1063/1.3080194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the synchronization of two bidirectionally coupled piecewise linear chaotic systems when the coupling strength is disturbed by the common or different noise. Based on stochastic differential equation theory, we verify that the noise can really induce the occurrence of synchronization, and the sufficient conditions of synchronization with probability 1 are established. We also find that with the common noise it is easier to induce the synchronization than with different noise. Moreover, two examples are provided and some numerical simulations are performed to verify the theoretical results.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] The theorems of unsynchronizability and synchronization for coupled chaotic systems
    Ge, Zheng-Ming
    Tsen, Pu-Chien
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (01) : 101 - 112
  • [32] Anti-synchronization of a class of coupled chaotic systems via linear feedback control
    Li, Chuandong
    Liao, Xiafeng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (04): : 1041 - 1047
  • [33] Impulsive synchronization of nonlinear coupled chaotic systems
    Li, CD
    Liao, XF
    Zhang, R
    PHYSICS LETTERS A, 2004, 328 (01) : 47 - 50
  • [34] SYNCHRONIZATION OF CHAOTIC SYSTEMS VIA LINEAR PARTITIONS
    Lu Hongtao He Zhenya (Southeast University
    JournalofElectronics(China), 1997, (01) : 27 - 33
  • [35] Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking
    Ge, Zheng-Ming
    Yang, Cheng-Hsiung
    CHAOS, 2008, 18 (04)
  • [36] Adaptive lag synchronization in coupled chaotic systems with unidirectional delay feedback
    Wang, Qing Yun
    Lu, Qi Shao
    Duan, Zhi Sheng
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2010, 45 (06) : 640 - 646
  • [37] Effect of measuring noise on scaling characteristics in the dynamics of coupled chaotic systems
    Pavlov, A. N.
    Pavlova, O. N.
    Koronovskii, A. A.
    Hramov, A. E.
    CHAOS SOLITONS & FRACTALS, 2018, 116 : 106 - 113
  • [38] A global synchronization criterion for coupled chaotic systems via unidirectional linear error feedback approach
    Jiang, GP
    Tang, WKS
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (10): : 2239 - 2253
  • [39] Synchronization of coupled bistable chaotic systems:: experimental study
    Pisarchik, Alexander N.
    Jaimes-Reategui, Rider
    Garcia-Lopez, J. Hugo
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 366 (1864): : 459 - 473
  • [40] Synchronization of symmetrically nonlinear-coupled chaotic systems
    Yu, HJ
    Liu, YZ
    ACTA PHYSICA SINICA, 2005, 54 (07) : 3029 - 3033
12345