STATISTICS OF TRAJECTORY SEPARATION IN NOISY DYNAMIC-SYSTEMS

被引:118
作者
PIKOVSKY, AS
机构
[1] Physics Department, Bergische Universität Wuppertal, W-5600 Wuppertal 1
关键词
D O I
10.1016/0375-9601(92)91049-W
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Statistics of trajectory separation in a system of identical noisy mappings is investigated. We show that the probability density of the separation satisfies a scaling law whose exponent is determined by the spectrum of local Lyapunov exponents.
引用
收藏
页码:33 / 36
页数:4
相关论文
共 14 条
  • [1] FLUCTUATIONS OF DYNAMIC SCALING INDEXES IN NONLINEAR-SYSTEMS
    ECKMANN, JP
    PROCACCIA, I
    [J]. PHYSICAL REVIEW A, 1986, 34 (01): : 659 - 661
  • [2] STATISTICAL DYNAMICS GENERATED BY FLUCTUATIONS OF LOCAL LYAPUNOV EXPONENTS
    FUJISAKA, H
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1983, 70 (05): : 1264 - 1275
  • [3] SCALING LAWS FOR INVARIANT-MEASURES ON HYPERBOLIC AND NONHYPERBOLIC ATTRACTORS
    GRASSBERGER, P
    BADII, R
    POLITI, A
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) : 135 - 178
  • [4] DIMENSIONS AND ENTROPIES OF STRANGE ATTRACTORS FROM A FLUCTUATING DYNAMICS APPROACH
    GRASSBERGER, P
    PROCACCIA, I
    [J]. PHYSICA D, 1984, 13 (1-2): : 34 - 54
  • [5] GRASSBERGER P, 1986, CHAOS, P291
  • [6] KAPITANIAK T, 1988, CHAOS SYSTEMS NOISE
  • [7] KUBO R, 1965, STATISTICAL MECHANIC
  • [8] SYNCHRONIZATION IN CHAOTIC SYSTEMS
    PECORA, LM
    CARROLL, TL
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (08) : 821 - 824
  • [9] PIKOVSKIJ AS, 1984, IZV VUZ RADIOFIZ+, V27, P576
  • [10] PILOVSKY AS, 1991, J PHYS A, V24, P4587