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Dynamics in a neighborhood of a fixed point
by
Krystyna Kuperberg
Auburn University
Coauthors: George Kozlowski
A flow (a continuous R-action) defined on a manifold can exhibit interesting dynamics in a neighborhood of an isolated fixed point. In dimension three, all orbits can align along wild arcs producing an unusual set of escape points, even under the natural restrictions given by the Wa\.zewski Retract Theorem.
Date received: April 26, 2006
Copyright © 2006 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 # carh-10.