Mixing and relaxation dynamics of the Henon map at the edge of chaos

被引：4
作者：
Borges, EP
Tirnakli, U [1 ]
机构：
[1] Ege Univ, Dept Phys, Fac Sci, TR-35100 Izmir, Turkey
[2] Univ Fed Bahia, Escola Politecn, BR-40210630 Salvador, BA, Brazil
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2004年 / 193卷 / 1-4期
关键词：
nonextensive thermostatistics; Heron maps; dynamical systems;
D O I：
10.1016/j.physd.2004.01.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numerically at the edge of chaos. It is found that the results are consistent with those coming from one-dimensional dissipative maps. This constitutes the first verification of the scenario in two-dimensional cases and obviously reinforces the idea of weak mixing. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：148 / 152
页数：5
相关论文
共 16 条
  • [1] PDF of velocity fluctuation in turbulence by a statistics based on generalized entropy
    Arimitsu, T
    Arimitsu, N
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) : 218 - 226
  • [2] Baldovin F, 2002, PHYS REV E, V66, DOI [10.1103/PhysRevE.66.045104, 10.1103/PhysrevE.66.045104]
  • [3] Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow
    Beck, C
    Lewis, GS
    Swinney, HL
    [J]. PHYSICAL REVIEW E, 2001, 63 (03): : 353031 - 353034
  • [4] Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos -: art. no. 254103
    Borges, EP
    Tsallis, C
    Añaños, GFJ
    de Oliveira, PMC
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (25)
  • [5] Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity
    Costa, UMS
    Lyra, ML
    Plastino, AR
    Tsallis, C
    [J]. PHYSICAL REVIEW E, 1997, 56 (01): : 245 - 250
  • [6] Convergence to the critical attractor of dissipative maps: Log-periodic oscillations, fractality, and nonextensivity
    de Moura, FABF
    Tirnakli, U
    Lyra, ML
    [J]. PHYSICAL REVIEW E, 2000, 62 (05): : 6361 - 6365
  • [7] 2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR
    HENON, M
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) : 69 - 77
  • [8] The rate of entropy increase at the edge of chaos
    Latora, V
    Baranger, M
    Rapisarda, A
    Tsallis, C
    [J]. PHYSICS LETTERS A, 2000, 273 (1-2) : 97 - 103
  • [9] Nonextensivity and multifractality in low-dimensional dissipative systems
    Lyra, ML
    Tsallis, C
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (01) : 53 - 56
  • [10] TIMAKLI U, 2002, PHYS REV E, V66
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