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

页码：148 / 152

页数：5

共 50 条

[21] A current-mode analog chaos circuit realizing a Henon map
Eguchi, K
Inoue, T
IEICE TRANSACTIONS ON ELECTRONICS, 1997, E80C (07) : 1063 - 1066
[22] Bifurcation and chaos in the fractional form of Henon-Lozi type map
Ouannas, Adel
Khennaoui, Amina-Aicha
Wang, Xiong
Viet-Thanh Pham
Boulaaras, Salah
Momani, Shaher
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2020, 229 (12-13): : 2261 - 2273
[23] SYMBOLIC DYNAMICS AND TOPOLOGICAL-ENTROPY OF HENON MAP
LIU, LW
YING, YJ
CHEN, SG
HE, XT
COMMUNICATIONS IN THEORETICAL PHYSICS, 1991, 15 (01) : 1 - 8
[24] On the symbolic dynamics of the Henon map defined by a numerical method
Ying, Yangjun, 1600, China Int Book Trading Corp, Beijing, China (43):
[25] WAVE PACKET DYNAMICS AND CHAOS IN THE HENON-HEILES SYSTEM
FEIT, MD
FLECK, JA
JOURNAL OF CHEMICAL PHYSICS, 1984, 80 (06): : 2578 - 2584
[26] Design of a two-dimensional digital chaos circuit realizing a Henon map
Eguchi, K
Inoue, T
Tsuneda, A
IEICE TRANSACTIONS ON ELECTRONICS, 1998, E81C (01) : 78 - 81
[27] Design of a two-dimensional digital chaos circuit realizing a Henon map
Kumamoto Univ, Kumamoto-shi, Japan
IEICE Trans Electron, 1 (78-81):
[28] A novel image encryption scheme based on Henon map and compound spatiotemporal chaos
Zheng, Yifeng
Jin, Jianxiu
MULTIMEDIA TOOLS AND APPLICATIONS, 2015, 74 (18) : 7803 - 7820
[29] Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos -: art. no. 254103
Borges, EP
Tsallis, C
Añaños, GFJ
de Oliveira, PMC
PHYSICAL REVIEW LETTERS, 2002, 89 (25)
[30] Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Henon Map
Balibrea-Iniesta, Francisco
Lopesino, Carlos
Wiggins, Stephen
Mancho, Ana M.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (12):

← 1 2 3 4 5 →