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 sym metries. Earlier investigations determined families of equivariant function s 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 c onsideration of the all the frieze and two-dimensional crystallographic gro ups. (C) 1998 Elsevier Science Ltd. All rights reserved.