Synchronization of chaotic oscillator time scales

被引：14
|
作者：
Hramov, AE [1 ]
Koronovskii, AA [1 ]
Levin, YI [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
来源：
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2005年 / 100卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/1.1926439
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider chaotic oscillator synchronization and propose a new approach for detecting the synchronized behavior of chaotic oscillators. This approach is based on analysis of different time scales in the time series generated by coupled chaotic oscillators. We show that complete synchronization, phase synchronization, lag synchronization, and generalized synchronization are particular cases of the synchronized behavior called time-scale synchronization. A quantitative measure of chaotic oscillator synchronous behavior is proposed. This approach is applied to coupled Rossler systems. (c) 2005 Pleiades Publishing, Inc.
引用
收藏
页码：784 / 794
页数：11
相关论文
共 50 条
  • [1] Synchronization of chaotic oscillator time scales
    A. E. Hramov
    A. A. Koronovskii
    Yu. I. Levin
    [J]. Journal of Experimental and Theoretical Physics, 2005, 100 : 784 - 794
  • [2] Exponential synchronization of chaotic delayed neural networks on time scales
    Hu, Meng
    Wang, Lili
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 34 (04): : 96 - 103
  • [3] Phase synchronization of coupled chaotic multiple time scales systems
    Ge, ZM
    Chen, CC
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 20 (03) : 639 - 647
  • [4] Chaotic Synchronization of Duffing Oscillator and Pendulum
    Luo, Albert C. J.
    Min, Fuhong
    [J]. DYNAMICAL SYSTEMS AND METHODS, 2012, : 115 - 133
  • [5] Synchronization of mobile chaotic oscillator networks
    Fujiwara, Naoya
    Kurths, Jurgen
    Diaz-Guilera, Albert
    [J]. CHAOS, 2016, 26 (09)
  • [6] Synchronization of VHF chaotic colpitts oscillator
    Tamasevicius, A
    Mykolaitis, G
    Bumeliene, S
    Cenys, A
    Lindberg, E
    [J]. PROCEEDINGS OF THE 2001 WORKSHOP ON NONLINEAR DYNAMICS OF ELECTRONIC SYSTEMS, 2001, : 223 - 226
  • [7] Impulsive synchronization for a new chaotic oscillator
    Benitez, Sinuhe
    Acho, Leonardo
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (02): : 617 - 623
  • [8] Sinusoidal synchronization of a Duffing oscillator with a chaotic pendulum
    Min, Fuhong
    Luo, Albert C. J.
    [J]. PHYSICS LETTERS A, 2011, 375 (34) : 3080 - 3089
  • [9] Time-shifted synchronization of chaotic oscillator chains without explicit coupling delays
    Blakely, Jonathan N.
    Stahl, Mark T.
    Corron, Ned J.
    [J]. CHAOS, 2009, 19 (04)
  • [10] Features of Induced Synchronization of a Bistable Oscillator with Chaotic Dynamics
    Kal'yanov, Er. V.
    [J]. TECHNICAL PHYSICS LETTERS, 2011, 37 (11) : 1042 - 1045
12345