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

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