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Semi-annual Workshop on Dynamical Systems and Related Topics
March 18-21, 2000
University of Maryland
College Park, MD, USA

Organizers
Brian R. Hunt, Michael Jakobson

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Enforcing chaos in billiards on surfaces of constant curvature
by
Eugene Gutkin
University of Southern California

We say that the billiard in a domaine (billiard table) on a surface of constant curvature is chaotic if the Lyapunov exponents don't vanish. In the talk we establish sufficient conditions for chaos, in terms of the geometry of the billiard table. These conditions have been known for planar billiard tables, which is the special case of a surface of zero curvature.

Date received: March 7, 2000

Copyright © 2000 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 # caep-14.