RIDDLED PARAMETER SPACE IN SPATIOTEMPORAL CHAOTIC DYNAMICAL-SYSTEMS

被引:49
作者
LAI, YC [1 ]
WINSLOW, RL [1 ]
机构
[1] JOHNS HOPKINS UNIV,WHITING SCH ENGN,DEPT COMP SCI,BALTIMORE,MD 21218
关键词
D O I
10.1103/PhysRevLett.72.1640
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate that some chaotic parameter subsets of a class of spatiotemporal chaotic systems modeled by globally coupled maps are riddled. That is, for every point in the chaotic parameter subset, there are parameter values arbitrarily nearby that lead to nonchaotic attractors. A consequence is an extremely sensitive parameter dependence characterized by a significant probability of error in numerical computation of asymptotic attractors, regardless of the precision with which parameters are specified.
引用
收藏
页码:1640 / 1643
页数:4
相关论文
共 30 条
  • [1] RIDDLED BASINS
    Alexander, J. C.
    Yorke, James A.
    You, Zhiping
    Kan, I.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04): : 795 - 813
  • [2] [Anonymous], 1992, CHAOS, V2
  • [3] Benettin G., 1980, MECCANICA, V15, P21, DOI 10.1007/BF02128236
  • [4] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS
    ECKMANN, JP
    RUELLE, D
    [J]. REVIEWS OF MODERN PHYSICS, 1985, 57 (03) : 617 - 656
  • [5] CHARACTERIZATION OF FAT FRACTALS IN NONLINEAR DYNAMIC-SYSTEMS
    EYKHOLT, R
    UMBERGER, DK
    [J]. PHYSICAL REVIEW LETTERS, 1986, 57 (19) : 2333 - 2336
  • [6] THE DIMENSION OF CHAOTIC ATTRACTORS
    FARMER, JD
    OTT, E
    YORKE, JA
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) : 153 - 180
  • [7] SENSITIVE DEPENDENCE ON PARAMETERS IN NONLINEAR DYNAMICS
    FARMER, JD
    [J]. PHYSICAL REVIEW LETTERS, 1985, 55 (04) : 351 - 354
  • [8] FINAL-STATE SENSITIVITY - AN OBSTRUCTION TO PREDICTABILITY
    GREBOGI, C
    MCDONALD, SW
    OTT, E
    YORKE, JA
    [J]. PHYSICS LETTERS A, 1983, 99 (09) : 415 - 418
  • [9] SENSITIVE DEPENDENCE ON PARAMETERS IN NONLINEAR DYNAMICS AND ON FAT FRACTALS ON THE ENERGY SURFACE - COMMENT
    GREBOGI, C
    OTT, E
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1986, 56 (03) : 266 - 266
  • [10] EXTERIOR DIMENSION OF FAT FRACTALS
    GREBOGI, C
    MCDONALD, SW
    OTT, E
    YORKE, JA
    [J]. PHYSICS LETTERS A, 1985, 110 (01) : 1 - 4