Chaotic Attractors with Discrete Planar Symmetries

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...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 1998-12, Vol.9 (12), p.2031-2054
Main Authors: Carter, Nathan C., Eagles, Richard L., Grimes, Stephen M., Hahn, Andrew C., Reiter, Clifford A.
Format: Article
Language:English
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Summary: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. © 1998 Elsevier Science Ltd. All rights reserved.
ISSN:0960-0779
1873-2887
DOI:10.1016/S0960-0779(97)00157-4