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
收藏
页码：2031 / 2054
页数：24
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