Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2080
Title: Gevrey properties of real planar singularly perturbed systems
Authors: DE MAESSCHALCK, Peter 
Issue Date: 2005
Publisher: EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Source: COMPTES RENDUS MATHEMATIQUE, 340(3). p. 195-198
Abstract: By applying geometric techniques to real analytic singularly perturbed vector fields on the plane, we develop a way to give a bound on the Gevrey type of the Taylor development of center manifolds at normally hyperbolic turning points, and show that the same technique is useful in the study of degenerate planar turning points and their corresponding canard manifolds. At the end of the Note, we motivate the interest in Gevrey asymptotics by briefly discussing its relation with bifurcation delay. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
Notes: Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.De Maesschalck, P, Limburgs Univ Ctr, Dept WNI, Univ Campus Gebouw D,Campuslaan 1, B-3590 Diepenbeek, Belgium.peter.demaesschalck@luc.ac.be
Document URI: http://hdl.handle.net/1942/2080
ISSN: 1631-073X
e-ISSN: 1778-3569
DOI: 10.1016/j.jde.2007.04.005
ISI #: 000227290600004
Category: A1
Type: Journal Contribution
Validations: ecoom 2006
Appears in Collections:Research publications

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