Loss of synchronization in coupled oscillators with ubiquitous local stability

被引:13
作者
Corron, NJ [1 ]
机构
[1] USA, Aviat & Missile Command, AMSAM RD WS ST, Redstone Arsenal, AL 35898 USA
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 05期
关键词
D O I
10.1103/PhysRevE.63.055203
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 issue of using instantaneous eigenvalues as indicators of synchronization quality in coupled chaotic systems is examined. Previously, it has been assumed that, if the eigenvalues of the linearized synchronization dynamics have negative real parts everywhere on the attractor, the synchronized state is stable. In this Rapid Communication, two counterexamples are presented that show this assumption is invalid.
引用
收藏
页数:4
相关论文
共 12 条
  • [1] On the local stability of limit cycles
    Ali, F
    Menzinger, M
    [J]. CHAOS, 1999, 9 (02) : 348 - 356
  • [2] [Anonymous], 1993, CHAOS DYNAMICAL SYST
  • [3] [Anonymous], 1977, NONLINEAR ORDINARY D
  • [4] BUBBLING OF ATTRACTORS AND SYNCHRONIZATION OF CHAOTIC OSCILLATORS
    ASHWIN, P
    BUESCU, J
    STEWART, I
    [J]. PHYSICS LETTERS A, 1994, 193 (02) : 126 - 139
  • [5] Experimental investigation of high-quality synchronization of coupled oscillators
    Blakely, JN
    Gauthier, DJ
    Johnson, G
    Carroll, TL
    Pecora, LM
    [J]. CHAOS, 2000, 10 (03) : 738 - 744
  • [6] Designing a coupling that guarantees synchronization between identical chaotic systems
    Brown, R
    Rulkov, NF
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (22) : 4189 - 4192
  • [7] Galias Z, 1999, INT J CIRC THEOR APP, V27, P589, DOI 10.1002/(SICI)1097-007X(199911/12)27:6<589::AID-CTA85>3.0.CO
  • [8] 2-B
  • [9] Intermittent loss of synchronization in coupled chaotic oscillators: Toward a new criterion for high-quality synchronization
    Gauthier, DJ
    Bienfang, JC
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (09) : 1751 - 1754
  • [10] Synchronization and imposed bifurcations in the presence of large parameter mismatch
    Johnson, GA
    Mar, DJ
    Carroll, TL
    Pecora, LM
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (18) : 3956 - 3959