Homotopy stability of dynamics
by
Phil Boyland
University of Florida

A map f is called homotopy stable if any g homotopic to f is semiconjugate to f. There is no requirement that g be close to f. Results of Franks and Shub show that linear Anosov diffeomorphisms and expanding maps are homotopy stable. PseudoAnosov homeomorphisms satisfy a weaker stability property. This talk will explore homotopy stability and its generalizations with applications to bifurcation theory and fluid mixing.

Date received: February 26, 1998

Copyright © 1998 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 # caas-96.