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Title: | Gevrey properties of real planar singularly perturbed systems | Authors: | DE MAESSCHALCK, Peter | Issue Date: | 2007 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 238(2). p. 338-365 | 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 canard manifolds at degenerate planar turning points. By blowing up the phase space at the turning point, we find asymptotic estimates even when such expansions w.r.t. traditional phase space variables do not exist. The asymptotic estimates are then used to give a sufficient and necessary condition on the existence of (local) canard solutions. | Notes: | Hasselt Univ, B-3590 Diepenbeek, Belgium.DE MAESSCHALCK, P, Hasselt Univ, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.peter.demaesschalck@uhasselt.be | Document URI: | http://hdl.handle.net/1942/4044 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.crma.2004.12.020 | ISI #: | 000248351000003 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2008 |
Appears in Collections: | Research publications |
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