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http://hdl.handle.net/1942/22725
Title: | Summability of canard-heteroclinic saddle connections | Authors: | KENENS, Karel | Issue Date: | 2016 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | 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. | Keywords: | Gevrey series; Borel summation; Slow-fast systems; Singular perturbations; Canards;Gevrey series; Borel summation; slow-fast systems; singular perturbations; canards | Document URI: | http://hdl.handle.net/1942/22725 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2016.08.030 | ISI #: | 000385911600003 | Rights: | (c) 2016 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2017 |
Appears in Collections: | Research publications |
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kenens 1.pdf Restricted Access | Published version | 503.07 kB | Adobe PDF | View/Open Request a copy |
summability_canard_heteroclinic_saddle_connections_final.pdf | Peer-reviewed author version | 504.71 kB | Adobe PDF | View/Open |
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