Generalizations of a Result on Symmetry Groups of Attractors
نویسنده
چکیده
The admissible symmetry groups of attractors for continuous equivariant mappings were classified in Ashwin and Melbourne [1994] and Melbourne, Dellnitz and Golubitsky [1993]. We consider extensions of these results to include attractors in fixed-point subspaces, attractors for equivariant diffeomorphisms and flows, and attractors in the presence of a continuous symmetry group. Our results lead to surprising (if somewhat speculative) implications for both theory and applications of equivariant dynamical systems.
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تاریخ انتشار 2005