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Title: | Time and entry-exit relation near a planar turning point | Authors: | DE MAESSCHALCK, Peter DUMORTIER, Freddy |
Issue Date: | 2004 | Publisher: | EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | Source: | COMPTES RENDUS MATHEMATIQUE, 339(5). p. 359-364 | Abstract: | Following the geometric approach for studying singular perturbation problems in the plane at turning points, and considering a very general setting where canard solutions are shown to exist, we study the transition time of orbits passing near the turning point, as well as the entry-exit relation at such turning points. The manifolds of canard solutions are in general only C-0 at the turning point, making the classical asymptotic approach impossible. The method involves a (family) blow up of the turning point and the use of C-k -normal forms and center manifolds. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved. | Notes: | Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.De Maesschalck, P, Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.peter.demaesschalck@luc.ac.be freddy.dumortier@luc.ac.be | Document URI: | http://hdl.handle.net/1942/2293 | ISSN: | 1631-073X | e-ISSN: | 1778-3569 | DOI: | 10.1016/j.crma.2004.06.020 | ISI #: | 000224193700010 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2005 |
Appears in Collections: | Research publications |
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