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Taylor approximation of invariant fiber bundles for nonautonomous difference equations
Affiliation:1. School of Mathematics, University of Minnesota, 206 Church St SE, Minneapolis, MN 55455, USA;2. Department of Mathematics, University of Augsburg, D-86135 Augsburg, Germany
Abstract:Invariant fiber bundles generalize invariant manifolds to nonautonomous difference equations. In this paper we develop a method to calculate their Taylor approximation, which is of crucial importance, e.g. for an application of the reduction principle in a nonautonomous setting.
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