Chaotic attractors with discrete planar symmetries

被引：50

作者：

Carter, NC ^{[1
]}

Eagles, RL ^{[1
]}

Grimes, SM ^{[1
]}

Hahn, AC ^{[1
]}

Reiter, CA ^{[1
]}

机构：

[1] Lafayette Coll, Dept Math, Easton, PA 18042 USA

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 12期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0960-0779(97)00157-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Chaotic behavior is known to be compatible with symmetry and illustrations are constructed using functions equivariant with respect to the desired symmetries. Earlier investigations determined families of equivariant functions for a few of the discrete symmetry groups in the plane; those results are extended to all the discrete symmetry groups of the plane. This includes consideration of the all the frieze and two-dimensional crystallographic groups. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：2031 / 2054

页数：24

共 50 条

[41] Chaotic system with bondorbital attractors
Xin Zhang
Chunhua Wang
Wei Yao
Hairong Lin
Nonlinear Dynamics, 2019, 97 : 2159 - 2174
[42] Detecting variation in chaotic attractors
Carroll, T. L.
CHAOS, 2011, 21 (02)
[43] ON A CLASS OF SYMMETRICAL CHAOTIC ATTRACTORS
KOCAREV, L
PHYSICS LETTERS A, 1988, 130 (01) : 7 - 10
[44] Chaotic attractors with the symmetry of the dodecahedron
Reiter, CA
VISUAL COMPUTER, 1999, 15 (04): : 211 - 215
[45] Chaotic attractors of atmospheric models
Dymnikov, VP
Gritsoun, AS
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2002, 17 (03) : 249 - 281
[46] Coherent motion of chaotic attractors
Louodop, Patrick
Saha, Suman
Tchitnga, Robert
Muruganandam, Paulsamy
Dana, Syamal K.
Cerdeira, Hilda A.
PHYSICAL REVIEW E, 2017, 96 (04)
[47] A lot of strange attractors: Chaotic or not?
Badard, R.
CHAOS, 2008, 18 (02)
[48] Distortions of reconstruction for chaotic attractors
Potapov, A
PHYSICA D, 1997, 101 (3-4): : 207 - 226
[49] Chaotic attractors with separated scrolls
Bouallegue, Kais
CHAOS, 2015, 25 (07)
[50] Chaotic attractors with the symmetry of the dodecahedron
Clifford A. Reiter
The Visual Computer, 1999, 15 : 211 - 215

← 1 2 3 4 5 →