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Title: | A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral | Authors: | DUMORTIER, Freddy | Issue Date: | 2022 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 333 , p. 361 -406 | Abstract: | We prove a flow box theorem for smooth 2-dimensional slow-fast vector fields, providing a simple normal form that is obtained by smooth coordinate changes, without having to change the time. We introduce a notion of 2d slow-fast diffeomorphism, define the log-determinant integral and prove a normal form theorem similar to the flow box theorem for slow-fast vector fields. The normal form is used in proving the relevance of the log-determinant integral.(c) 2022 Elsevier Inc. All rights reserved. | Notes: | Dumortier, F (corresponding author), Univ Hasselt, Dept Wiskunde, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium. freddy.dumortier@uhasselt.be |
Keywords: | Planar vector field;Planar vector field;Planar diffeomorphism;Planar diffeomorphism;Normal form;Normal form;Invariant manifold;Invariant manifold;Invariant foliation;Invariant foliation | Document URI: | http://hdl.handle.net/1942/38060 | ISSN: | 0022-0396 | e-ISSN: | 1090-2732 | DOI: | 10.1016/j.jde.2022.06.008 | ISI #: | WOS:000831504100010 | Rights: | 2022 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
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