Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2455
Title: Invariant manifolds of maps close to a product of rotations: close to the rotation axis
Authors: Fontich, E
BONCKAERT, Patrick 
Issue Date: 2003
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Source: JOURNAL OF DIFFERENTIAL EQUATIONS, 191(2). p. 490-517
Abstract: We consider families of maps depending on a parameter epsilon such that for epsilon = 0 the map becomes a product of linear rotations in R2m+n and for epsilon not equal 0 the map is weakly attracting in the product of the rotation planes and weakly repelling in some complementary subspace. We prove that the unstable manifold converges to the complementary subspace in the C-r topology, the case r = infinity included. We consider both the local and the global manifolds. For that we prove some results on families of maps near a norm one linear map, which are of independent interest. (C) 2003 Elsevier Science (USA). All rights reserved.
Notes: Dept Matemat Aplicada & Anal, Barcelona 08007, Spain. Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.Fontich, E, Dept Matemat Aplicada & Anal, Gran Via Corts Catalanes 585, Barcelona 08007, Spain.
Keywords: perturbations of rotations; invariant manifolds; bifurcations
Document URI: http://hdl.handle.net/1942/2455
ISSN: 0022-0396
e-ISSN: 1090-2732
DOI: 10.1016/S0022-0396(03)00025-1
ISI #: 000183424000008
Category: A1
Type: Journal Contribution
Validations: ecoom 2004
Appears in Collections:Research publications

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