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http://hdl.handle.net/1942/30071
Title: | Gevrey asymptotic properties of slow manifolds | Authors: | DE MAESSCHALCK, Peter KENENS, Karel |
Issue Date: | 2020 | Publisher: | IOP PUBLISHING LTD | Source: | NONLINEARITY, 33 (1) , p. 341 -387 | Abstract: | In geometric singular perturbation theory, Fenichel manifolds are typically only finitely smooth. In this paper, we prove better local smoothness properties in the analytic setting, under the condition that no singularities in the slow flow are present. We also investigate cases where the slow flow has a node or focus, where summability results are obtained. Various techniques are being employed like formal power series methods, majorant equations, Gevreyasymptotics, and studies in the Borel plane. | Keywords: | slow-fast systems;Gevrey asymptotics;Borel summability;singular perturbations;slow manifolds;elliptic manifolds Mathematics Subject Classification numbers: 34E15;34M25;34M30 | Document URI: | http://hdl.handle.net/1942/30071 | ISSN: | 0951-7715 | e-ISSN: | 1361-6544 | DOI: | 10.1088/1361-6544/ab4d86 | ISI #: | WOS:000501195100001 | Rights: | 2019 IOP Publishing Ltd & London Mathematical Society Printed in the UK | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
Appears in Collections: | Research publications |
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De_Maesschalck_2020_Nonlinearity_33_341.pdf Restricted Access | Published version | 2.8 MB | Adobe PDF | View/Open Request a copy |
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