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2003 Summer Conference on Topology and its Applications
July 9-12, 2003
Howard University
Washington, DC, USA

Organizers
Neil Hindman, Joshua Leslie, Amir Maleki, Thierry Robart, Sherif El-Helaly, John Kulesza, Salvador Garcia-Ferreira, Javier Trigos-Arrietta, Grant Woods, Alan Dow, Judy Kennedy, Randall McCutcheon Karl Hofmann, Dona Strauss, Jimmie Lawson, Michael Mislove

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A robust example (?) of strange nonchaotic dynamics
by
Brian Hunt
Unversity of Maryland
Coauthors: Edward Ott

I will describe a general class of skew-product diffeomorphisms of the 2-torus, whose base is an irrational rotation of the circle, and argue based on a combination of rigorous results and numerical evidence that they exhibit a ``strange nonchaotic'' attractor. The strangeness of the attractor lies in the difference between its topological and ergodic properties: topologically, the attractor is the entire 2-torus, but it appears to support only 1-dimensional invariant measures. These properties seem to be robust with respect to perturbations of the fiber dynamics.

Date received: June 18, 2003

Copyright © 2003 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 # calv-06.