|
Organizers |
Topological Horseshoes
by
Judy Kennedy
University of Delaware
Coauthors: Sahin Kocak (Anadolu University), James A. Yorke (University of Maryland)
When does a map have chaotic dynamics on a closed set? More specifically, when does the map admit an invariant set such that the map restricted to that invariant set factors over the shift on m-symbols or a subshift of finite type? This work is an attempt to clarify some of the issues when no hyperbolicity is assumed. We then demonstrate some examples, including billiards, where our conclusions apply.
Date received: June 7, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacl-57.