Synchronization of coupled time-delay systems: Analytical estimations

被引：203
|
作者：
Pyragas, K [1 ]
机构：
[1] Inst Semicond Phys, LT-2600 Vilnius, Lithuania
来源：
PHYSICAL REVIEW E | 1998年 / 58卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.58.3067
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The synchronization threshold of coupled time-delay chaotic systems is estimated by two different analytical approaches. One of them is based on the Krasovskii-Lyapunov theory that represents an extension of the second Lyapunov method for delay differential equations. Another approach uses a perturbation theory of large delay time. The analytical expression relating synchronization threshold to the maximal Lyapunov exponent of uncoupled driving and response subsystems is derived. The analytical results are compared with the numerical simulations for two coupled Mackey-Glass systems.
引用
收藏
页码：3067 / 3071
页数：5
相关论文
共 50 条
  • [21] Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory
    Senthilkumar, D. V.
    Kurths, J.
    Lakshmanan, M.
    PHYSICAL REVIEW E, 2009, 79 (06):
  • [22] On-line Model Parameter Estimations for Time-delay Systems
    Park, Jung Hun
    Han, Soohee
    Park, Chan Gook
    Kwon, Wook Hyun
    ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3, 2009, : 626 - 629
  • [23] On-Line Model Parameter Estimations for Time-Delay Systems
    Park, Jung Hun
    Han, Soohee
    Kwon, Bokyu
    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2013, E96D (08): : 1867 - 1870
  • [24] Basic concepts for estimations of domains of attraction in time-delay systems
    Scholl, Tessina H.
    Hagenmeyer, Veit
    Groell, Lutz
    AT-AUTOMATISIERUNGSTECHNIK, 2020, 68 (08) : 667 - 686
  • [25] Partial synchronization in diffusively time-delay coupled oscillator networks
    Steur, Erik
    Oguchi, Toshiki
    van Leeuwen, Cees
    Nijmeijer, Henk
    CHAOS, 2012, 22 (04)
  • [26] The synchronization for time-delay of linearly bidirectional coupled chaotic system
    Yu, Yongguang
    CHAOS SOLITONS & FRACTALS, 2007, 33 (04) : 1197 - 1203
  • [27] Global phase synchronization in an array of time-delay systems
    Suresh, R.
    Senthilkumar, D. V.
    Lakshmanan, M.
    Kurths, J.
    PHYSICAL REVIEW E, 2010, 82 (01):
  • [28] Adaptive synchronization for a class of time-delay chaotic systems
    Zhang, Hong
    Chen, Tian-Qi
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2005, 27 (04): : 708 - 710
  • [29] Synchronization in networks of chaotic systems with time-delay coupling
    Oguchi, Toshiki
    Nijmeijer, Henk
    Yamamoto, Takashi
    CHAOS, 2008, 18 (03)
  • [30] Laminar Chaos in Coupled Time-Delay Systems
    Kulminskiy, D. D.
    Ponomarenko, V. I.
    Prokhorov, M. D.
    TECHNICAL PHYSICS LETTERS, 2024, 50 (02) : 138 - 141
12345