Dynamics of chaotic maps with global inhomogeneous coupling

被引:10
作者
Zanette, DH [1 ]
机构
[1] Consejo Nacl Invest Cient & Tecn, Ctr Atom Bariloche, RA-8400 Bariloche, Rio Negro, Argentina
[2] Inst Balseiro, RA-8400 Bariloche, Rio Negro, Argentina
来源
EUROPHYSICS LETTERS | 1999年 / 45卷 / 04期
关键词
D O I
10.1209/epl/i1999-00183-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A population of globally coupled logistic maps with inhomogeneous coupling is numerically studied. It is shown that when the coupling intensities take large values with relatively small dispersion the system is entrained in fully synchronous motion. When synchronization is unstable, instead, a regime with complex correlation between the dynamics of each map and its coupling intensity is observed. Self-averaging of internal fluctuations holds in this system for small population sizes, whereas it breaks down when the population grows.
引用
收藏
页码:424 / 430
页数:7
相关论文
共 15 条
  • [1] Abarbanel H. D. I., 1996, Physics-Uspekhi, V39, P337, DOI 10.1070/PU1996v039n04ABEH000141
  • [2] RELEVANCE OF DYNAMIC CLUSTERING TO BIOLOGICAL NETWORKS
    KANEKO, K
    [J]. PHYSICA D, 1994, 75 (1-3): : 55 - 73
  • [3] CLUSTERING, CODING, SWITCHING, HIERARCHICAL ORDERING, AND CONTROL IN A NETWORK OF CHAOTIC ELEMENTS
    KANEKO, K
    [J]. PHYSICA D, 1990, 41 (02): : 137 - 172
  • [4] LYAPUNOV ANALYSIS AND INFORMATION-FLOW IN COUPLED MAP LATTICES
    KANEKO, K
    [J]. PHYSICA D, 1986, 23 (1-3): : 436 - 447
  • [5] MEAN FIELD FLUCTUATION OF A NETWORK OF CHAOTIC ELEMENTS - REMAINING FLUCTUATION AND CORRELATION IN THE LARGE SIZE LIMIT
    KANEKO, K
    [J]. PHYSICA D, 1992, 55 (3-4): : 368 - 384
  • [6] GLOBALLY COUPLED CHAOS VIOLATES THE LAW OF LARGE NUMBERS BUT NOT THE CENTRAL-LIMIT-THEOREM
    KANEKO, K
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (12) : 1391 - 1394
  • [7] DELAY-INDUCED CHAOS IN CATALYTIC SURFACE-REACTIONS - NO REDUCTION ON PT(100)
    KHRUSTOVA, N
    VESER, G
    MIKHAILOV, A
    IMBIHL, R
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (19) : 3564 - 3567
  • [8] Kuramoto Y., 2003, CHEM OSCILLATIONS WA
  • [9] Moon F.C, 1987, Chaotic Vibrations
  • [10] ORDER IN THE TURBULENT PHASE OF GLOBALLY COUPLED MAPS
    PEREZ, G
    SINHA, S
    CERDEIRA, HA
    [J]. PHYSICA D, 1993, 63 (3-4): : 341 - 349