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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22725

Title: Summability of canard-heteroclinic saddle connections
Authors: Kenens, Karel
Issue Date: 2016
Citation: JOURNAL OF DIFFERENTIAL EQUATIONS, 261(11), p. 5992-6028
Abstract: For a given (real analytic) slow-fast system {(x) over dot = epsilon f(x, y, epsilon) (y) over dot =g(x, y, epsilon), that admits a slow-fast saddle and that satisfies some mild assumptions, the Borel-summability properties of the saddle separatrix tangent in the direction of the critical curve are investigated: 1-summability is shown. It is also shown that slow-fast saddle connections of canard type have summability properties, in contrast to the typical lack of Borel-summability for canard solutions of general equations. (C) 2016 Elsevier Inc. All rights reserved.
Notes: [Kenens, Karel] Hasselt Univ, Dept Math, Martelarenlaan 42, B-3500 Hasselt, Belgium.
URI: http://hdl.handle.net/1942/22725
DOI: 10.1016/j.jde.2016.08.030
ISI #: 000385911600003
ISSN: 0022-0396
Category: A1
Type: Journal Contribution
Validation: ecoom, 2017
Appears in Collections: Research publications

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