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 50 条
  • [31] Entry and exit sets in the dynamics of area preserving Henon map
    Petrisor, E
    CHAOS SOLITONS & FRACTALS, 2003, 17 (04) : 651 - 658
  • [32] A Henon map approach to the transverse dynamics of off momentum particles
    Franchetti, G
    Turchetti, G
    NONLINEAR AND COLLECTIVE PHENOMENA IN BEAM PHYSICS 1998 WORKSHOP, 1999, 468 : 185 - 194
  • [33] THE GENERALIZED TIME-DELAYED HENON MAP: BIFURCATIONS AND DYNAMICS
    Bilal, Shakir
    Ramaswamy, Ramakrishna
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (03):
  • [34] A quantized Henon map
    Fornæss, JE
    Weickert, B
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2000, 6 (03) : 723 - 740
  • [35] A filtered Henon map
    Borges, Vinicius S.
    Eisencraft, Marcio
    CHAOS SOLITONS & FRACTALS, 2022, 165
  • [36] Multiplicative Henon Map
    Aniszewska, Dorota
    Rybaczuk, Marek
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
  • [37] ON THE TOPOLOGY OF THE HENON MAP
    DALESSANDRO, G
    GRASSBERGER, P
    ISOLA, S
    POLITI, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22): : 5285 - 5294
  • [38] An image encryption scheme in bit plane content using Henon map based generated edge map
    Vandana Rathore
    Arup Kumar Pal
    Multimedia Tools and Applications, 2021, 80 : 22275 - 22300
  • [39] An image encryption scheme in bit plane content using Henon map based generated edge map
    Rathore, Vandana
    Pal, Arup Kumar
    MULTIMEDIA TOOLS AND APPLICATIONS, 2021, 80 (14) : 22275 - 22300
  • [40] Transient chaos and resonant phase mixing in violent relaxation
    Kandrup, HE
    Vass, IM
    Sideris, IV
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2003, 341 (03) : 927 - 936
12345