Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems

被引:0
|
作者
Galias, Z [1 ]
机构
[1] Stanislaw Staszic Univ Min & Met, Dept Elect Engn, PL-30059 Krakow, Poland
关键词
chaotic system; synchronization; transversal Lyapunov exponents;
D O I
10.1002/(SICI)1097-007X(199911/12)27:6<589::AID-CTA85>3.0.CO;2-B
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper we consider the problem of synchronization of coupled chaotic systems. Synchronization is studied by means of local transversal Lyapunov exponents. We show that they can be successfully used in investigations of synchronization properties. A criterion for synchronization based on this concept is developed and discussed. Using examples of coupled Henon maps and coupled hyperchaotic electronic systems we compare this technique with other methods for investigation of synchronization properties. Copyright (C) 1999 John Wiley & Sons, Ltd.
引用
收藏
页码:589 / 604
页数:16
相关论文
共 50 条
  • [1] LOCAL LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS
    ECKHARDT, B
    YAO, DM
    [J]. PHYSICA D, 1993, 65 (1-2): : 100 - 108
  • [2] SUPREME LOCAL LYAPUNOV EXPONENTS AND CHAOTIC IMPULSIVE SYNCHRONIZATION
    Chen, Shengyao
    Xi, Feng
    Liu, Zhong
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (10):
  • [3] Exploiting the concept of conditional transversal lyapunov exponents for study of synchronization of chaotic circuits
    Galias, Z
    [J]. ISCAS '98 - PROCEEDINGS OF THE 1998 INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-6, 1998, : C568 - C571
  • [4] ON THE SYNCHRONIZATION OF COUPLED CHAOTIC SYSTEMS WITH ZERO LYAPUNOV EXPONENTS
    Erjaee, G. H.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2008, 32 (A3): : 183 - 190
  • [5] Forecasting chaotic systems: The role of local Lyapunov exponents
    Guegan, Dominique
    Leroux, Justin
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2401 - 2404
  • [6] Local Lyapunov Exponents: A New Way to Predict Chaotic Systems
    Guegan, D.
    Leroux, J.
    [J]. TOPICS ON CHAOTIC SYSTEMS, 2009, : 158 - +
  • [7] Mixing and Lyapunov exponents of chaotic systems
    Logunov, M. Yu.
    Butkovskii, O. Ya.
    [J]. TECHNICAL PHYSICS, 2008, 53 (08) : 959 - 965
  • [8] Mixing and Lyapunov exponents of chaotic systems
    M. Yu. Logunov
    O. Ya. Butkovskii
    [J]. Technical Physics, 2008, 53 : 959 - 965
  • [9] From integrable to chaotic systems: Universal local statistics of Lyapunov exponents
    Akemann, Gernot
    Burda, Zdzislaw
    Kieburg, Mario
    [J]. EPL, 2019, 126 (04)
  • [10] Scaling of Lyapunov exponents of coupled chaotic systems
    Zillmer, R
    Ahlers, V
    Pikovsky, A
    [J]. PHYSICAL REVIEW E, 2000, 61 (01): : 332 - 341