Isochronal synchronization of time delay and delay-coupled chaotic systems

被引:16
|
作者
Grzybowski, J. M. V. [1 ]
Macau, E. E. N. [2 ]
Yoneyama, T. [1 ]
机构
[1] ITA, BR-12228900 Sao Jose Dos Campos, SP, Brazil
[2] INPE, BR-12227010 Sao Jose Dos Campos, Brazil
基金
巴西圣保罗研究基金会;
关键词
COMPLEX NETWORKS; STABILITY; CRITERIA; BEHAVIOR;
D O I
10.1088/1751-8113/44/17/175103
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper studies the problem of isochronal synchronization of time-delay chaotic systems featuring also coupling delay. Based on the Lyapunov-Krasovskii stability theory, sufficient conditions are derived for the stability of isochronal synchronization between a pair of identical chaotic systems. Such criteria permit the proper design of stable proportional linear feedback controller, more specifically, the design of adequate proportional feedback gain matrices. The proposed criteria are suited to systems with (i) intrinsic delay, (ii) coupling delay or (iii) both. Numerical simulations of the synchronization of delay-coupled systems are presented as examples of the application of the criteria.
引用
收藏
页数:16
相关论文
共 50 条
  • [1] Isochronal synchronization of delay-coupled systems
    Schwartz, Ira B.
    Shaw, Leah B.
    PHYSICAL REVIEW E, 2007, 75 (04):
  • [2] Isochronal chaos synchronization of delay-coupled optoelectronic oscillators
    Illing, Lucas
    Panda, Cristian D.
    Shareshian, Lauren
    PHYSICAL REVIEW E, 2011, 84 (01):
  • [3] Synchronization of fluctuating delay-coupled chaotic networks
    Jimenez-Martin, Manuel
    Rodriguez-Laguna, Javier
    D'Huys, Otti
    de la Rubia, Javier
    Korutcheva, Elka
    PHYSICAL REVIEW E, 2017, 95 (05) : 052210
  • [4] Synchronization of unidirectionally delay-coupled chaotic oscillators with memory
    Jaimes-Reategui, Rider
    Vera-Avila, Victor P.
    Sevilla-Escoboza, Ricardo
    Huerta-Cuellar, Guillermo
    Castaneda-Hernandez, Carlos E.
    Chiu-Zarate, Roger
    Pisarchik, Alexander N.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2016, 225 (13-14): : 2707 - 2715
  • [5] Synchronization of unidirectionally delay-coupled chaotic oscillators with memory
    Rider Jaimes-Reátegui
    Victor P. Vera-Ávila
    Ricardo Sevilla-Escoboza
    Guillermo Huerta-Cuéllar
    Carlos E. Castañeda-Hernández
    Roger Chiu-Zarate
    Alexander N. Pisarchik
    The European Physical Journal Special Topics, 2016, 225 : 2707 - 2715
  • [6] On the formulation and solution of the isochronal synchronization stability problem in delay-coupled complex networks
    Grzybowski, J. M. V.
    Macau, E. E. N.
    Yoneyama, T.
    CHAOS, 2012, 22 (03)
  • [7] Limits to detection of generalized synchronization in delay-coupled chaotic oscillators
    Kato, Hideyuki
    Soriano, Miguel C.
    Pereda, Ernesto
    Fischer, Ingo
    Mirasso, Claudio R.
    PHYSICAL REVIEW E, 2013, 88 (06)
  • [8] Synchronization of delay-coupled oscillator networks
    Klinshov, V. V.
    Nekorkin, V. I.
    PHYSICS-USPEKHI, 2013, 56 (12) : 1217 - 1229
  • [9] CONTROL OF SYNCHRONIZATION IN DELAY-COUPLED NETWORKS
    Schoell, E.
    Selivanov, A.
    Lehnert, J.
    Dahms, T.
    Hoevel, P.
    Fradkov, A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (25):
  • [10] Synchronization of delay-coupled gyrotron oscillators
    Adilova, A. B.
    Gerasimova, S. A.
    Ryskin, N. M.
    10TH INTERNATIONAL WORKSHOP 2017 STRONG MICROWAVES AND TERAHERTZ WAVES: SOURCES AND APPLICATIONS, 2017, 149