Cluster synchronization in a network of non-identical dynamic systems

被引:17
|
作者
Wu Jian-She [1 ]
Jiao Li-Cheng [1 ]
Chen Guan-Rong [2 ]
机构
[1] Xidian Univ, Key Lab Intelligent Percept & Image Understanding, Minist Educ China, Xian 710071, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
complex network; cluster synchronization; diffusive couplings; Schur's theorem; DELAYED NEURAL-NETWORKS; GLOBAL SYNCHRONIZATION; COMPLEX NETWORKS; CHAOS SYNCHRONIZATION; STABILITY; ARRAY;
D O I
10.1088/1674-1056/20/6/060503
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Cluster synchronization in a network of non-identical dynamic systems is studied in this paper, using two-cluster synchronization for detailed analysis and discussion. The results show that the common intercluster coupling condition is not always needed for the diffusively coupled network. Several sufficient conditions are obtained by using the Schur unitary triangularization theorem, which extends previous results. Some numerical examples are presented for illustration.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] Generalized Synchronization of Non-Identical Chaotic Systems with Minimum Control Effort
    Alibeiki, Esmaeil
    Haeri, Mohammad
    2008 INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS, VOLS 1-4, 2008, : 2004 - 2007
  • [22] Secure Communication Scheme Based on Synchronization of Non-Identical Hyperchaotic Systems
    Olusola, O., I
    Oyeleke, K. S.
    Vincent, U. E.
    Njah, A. N.
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2020, 9 (02) : 273 - 285
  • [23] Multi-switching Synchronization of Four Non-identical Hyperchaotic Systems
    Khan A.
    Budhraja M.
    Ibraheem A.
    International Journal of Applied and Computational Mathematics, 2018, 4 (2)
  • [24] Generalized Adaptive Backstepping Synchronization for Non-identical Parametrically Excited Systems
    Idowu, B. A.
    Vincent, U. E.
    Njah, A. N.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (02): : 165 - 176
  • [25] Generalized projective synchronization of an array of non-identical coupled chaotic systems
    Gong, Huichao
    Chen, Xiangyong
    Xu, Chunhua
    Jing, Yuanwei
    Qiu, Jianlong
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 119 - 123
  • [26] Synchronization of a Class of Non-identical Chaotic Systems via DSC Approach
    Shukla, Manoj
    Bansal, Ankit
    Sharma, B. B.
    2013 IEEE INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING, COMPUTING AND CONTROL (ISPCC), 2013,
  • [27] Synchronization of two non-identical Chialvo neurons
    Used, Javier
    Seoane, Jesus M.
    Bashkirtseva, Irina
    Ryashko, Lev
    Sanjuan, Miguel A. F.
    CHAOS SOLITONS & FRACTALS, 2024, 183
  • [28] NEW SYNCHRONIZATION INDEX OF NON-IDENTICAL NETWORKS
    Panahi, Shirin
    Jafari, Sajad
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (04): : 1359 - 1373
  • [29] Cluster synchronization in a complex dynamical network of non-identical nodes with delayed and non-delayed coupling via pinning control
    Liu, Lingfeng
    Liu, Qian
    PHYSICA SCRIPTA, 2019, 94 (04)
  • [30] Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with non-identical dynamic systems via aperiodically intermittent control
    Cheng, Ke
    Feng, Jianwen
    Wang, Jingyi
    Zhao, Yi
    PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 2124 - 2129