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Equadiff 2007
August 5-11, 2007
Vienna University of Technology
Vienna, Austria

Organizers
Anton Arnold, Josef Hofbauer, Christian Schmeiser, Alois Steindl, Peter Szmolyan, Gerald Teschl, Josef Teichmann

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Averaging and integral manifolds
by
Roberta Fabbri
Universita' di Firenze
Coauthors: R. Johnson, K. Palmer

We prove an integral manifold theorem for nonautonomous differential systems when the vector field is multiplied by a small parameter. We use an averaging method combined with techniques introduced by Hirsh-Pugh-Shub, Irwin and Foster and a Bebutov-type construction which allows us to apply the theory of nonautonomous dynamical systems.

Date received: June 28, 2007

Copyright © 2007 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 # cavj-08.