Generalized synchronization and their detection in the complex network with a tree topology

被引:0
|
作者
Lynnyk, Volodymyr [1 ]
Rehak, Branislav [1 ]
Celikovsky, Sergej [1 ]
机构
[1] Czech Acad Sci, Dept Control Theory, Inst Informat Theory & Automat, Prague 18200, Czech Republic
关键词
generalized Lorenz system; generalized synchronization; auxiliary system approach; duplicated system approach; chaotic systems; complex networks; SYSTEM; PHASE; CHAOS;
D O I
10.1109/ICSC50472.2021.9666514
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the synchronization of the complex network with nodes being nonidentical chaotic systems is studied. The master-slave synchronization scheme between unidirectionally coupled complex network nodes is solved theoretically. The generalized Lorenz system (GLS) represents each node of the complex network with different parameters. Here, the generalized synchronization in a complex network with nodes being the chaotic systems (the particular cases of the GLS, namely Lorenz and Chen chaotic systems) are studied. The application of the theoretical results for the generalized synchronization between nodes of the complex networks with tree topology is verified by the numerical simulations. The duplicated system approach is applied for the detection of the generalized synchronization in a complex network with a tree topology. The obtained results are applied to synchronize complex networks consisting of GLSs with different parameters but belong to the chaotic systems' same class (Chen, Lorenz).
引用
收藏
页码:216 / 222
页数:7
相关论文
共 50 条
  • [21] Local and Global Synchronization Criteria for a Generalized Complex Dynamical Network Model
    Gao, Ming
    Sheng, Li
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 779 - +
  • [22] On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network
    Zhou, Jin
    Chen, Juan
    Lu, Junan
    Lu, Jinhu
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) : 3468 - 3473
  • [23] Complex networks: Topology, dynamics and synchronization
    Wang, XF
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05): : 885 - 916
  • [24] Synchronization in complex networks with switching topology
    Wang, Lei
    Wang, Qing-guo
    PHYSICS LETTERS A, 2011, 375 (34) : 3070 - 3074
  • [25] Generalized synchronization in complex networks
    A. A. Koronovskii
    O. I. Moskalenko
    A. E. Hramov
    Technical Physics Letters, 2012, 38 : 924 - 927
  • [26] Generalized synchronization in complex networks
    Koronovskii, A. A.
    Moskalenko, O. I.
    Hramov, A. E.
    TECHNICAL PHYSICS LETTERS, 2012, 38 (10) : 924 - 927
  • [27] Generalized synchronization of complex networks
    Shang, Yun
    Chen, Maoyin
    Kurths, Juergen
    PHYSICAL REVIEW E, 2009, 80 (02):
  • [28] Synchronization: An Obstacle to Identification of Network Topology
    Chen, Liang
    Lu, Jun-an
    Tse, Chi K.
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (04) : 310 - 314
  • [29] Topology of generalized complex quotients
    Baird, Thomas
    Lin, Yi
    JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (10) : 1539 - 1557
  • [30] On existence of multistability near the boundary of generalized synchronization in unidirectionally coupled systems with complex topology of attractor
    Moskalenko, O. I.
    Evstifeev, E. V.
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY-PRIKLADNAYA NELINEYNAYA DINAMIKA, 2022, 30 (06): : 676 - 684