Different types of chaos synchronization in two coupled piecewise linear maps

被引:47
|
作者
Maistrenko, Y [1 ]
Kapitaniak, T [1 ]
机构
[1] TECH UNIV LODZ, DIV DYNAM, PL-90924 LODZ, POLAND
关键词
D O I
10.1103/PhysRevE.54.3285
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
Dynamics of a four-parameter family of two-dimensional piecewise linear endomorphisms which consist of two linearly coupled one-dimensional maps is considered. We show that under analytically given conditions chaotic behavior in both maps can be synchronized. Depending on the coupling the parameters chaotic attractor's synchronized state is characterized by different types of stability.
引用
收藏
页码:3285 / 3292
页数:8
相关论文
共 50 条
  • [21] Chaos synchronization in two coupled Duffing oscillators
    Fang, JS
    Fang, Z
    Liu, XJ
    Rong, MS
    CHINESE PHYSICS LETTERS, 2001, 18 (11) : 1438 - 1441
  • [22] Generalized chaos synchronization of discrete maps via linear transformations
    Poria, Swarup
    Tarai, Anindita
    Chatterjee, Prasanta
    JURNAL FIZIK MALAYSIA, 2008, 29 (3-4): : 95 - 102
  • [23] Generalized synchronization in two coupled logistic maps
    Zhu, Hongbo
    Xiao, Jinghua
    Li, Xiangming
    Beijing Youdian Xueyuan Xuebao/Journal of Beijing University of Posts And Telecommunications, 1999, 22 (03): : 12 - 15
  • [24] Chaos synchronization in networks of coupled maps with time-varying topologies
    Lu, W. L.
    Atay, F. M.
    Jost, J.
    EUROPEAN PHYSICAL JOURNAL B, 2008, 63 (03): : 399 - 406
  • [25] Chaos synchronization in networks of coupled maps with time-varying topologies
    W. L. Lu
    F. M. Atay
    J. Jost
    The European Physical Journal B, 2008, 63
  • [26] Complete synchronization in coupled neuromodules of different types
    Pasemann, F
    Wennekers, T
    THEORY IN BIOSCIENCES, 1999, 118 (3-4) : 267 - 283
  • [27] PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
    Tramontana, Fabio
    Gardini, Laura
    Avrutin, Viktor
    Schanz, Michael
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (03):
  • [28] On chaos synchronization of a complex two coupled dynamos system
    Mahmoud, Gamal M.
    Aly, Shaban A.
    Farghaly, Ahmed A.
    CHAOS SOLITONS & FRACTALS, 2007, 33 (01) : 178 - 187
  • [29] Induced Synchronization of Chaos-Chaos Intermittency in Coupled Cubic Maps by External Feedback Signals
    Nobukawa, Sou
    Nishimura, Haruhiko
    Yamanishi, Teruya
    Doho, Hirotaka
    2018 5TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2018, : 64 - 68
  • [30] Synchronous chaos in the coupled system of two logistic maps
    He, GY
    He, GW
    CHAOS SOLITONS & FRACTALS, 2005, 23 (03) : 909 - 913