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http://hdl.handle.net/1942/38060
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DC Field | Value | Language |
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dc.contributor.author | DUMORTIER, Freddy | - |
dc.date.accessioned | 2022-09-12T13:02:32Z | - |
dc.date.available | 2022-09-12T13:02:32Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2022-08-25T08:45:56Z | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 333 , p. 361 -406 | - |
dc.identifier.uri | http://hdl.handle.net/1942/38060 | - |
dc.description.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. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | 2022 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Planar vector field | - |
dc.subject.other | Planar vector field | - |
dc.subject.other | Planar diffeomorphism | - |
dc.subject.other | Planar diffeomorphism | - |
dc.subject.other | Normal form | - |
dc.subject.other | Normal form | - |
dc.subject.other | Invariant manifold | - |
dc.subject.other | Invariant manifold | - |
dc.subject.other | Invariant foliation | - |
dc.subject.other | Invariant foliation | - |
dc.title | A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 406 | - |
dc.identifier.spage | 361 | - |
dc.identifier.volume | 333 | - |
local.format.pages | 46 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Dumortier, F (corresponding author), Univ Hasselt, Dept Wiskunde, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium. | - |
dc.description.notes | freddy.dumortier@uhasselt.be | - |
local.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jde.2022.06.008 | - |
dc.identifier.isi | WOS:000831504100010 | - |
local.provider.type | wosris | - |
local.description.affiliation | [Dumortier, Freddy] Univ Hasselt, Dept Wiskunde, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.uhasselt.international | no | - |
item.fullcitation | DUMORTIER, Freddy (2022) A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 333 , p. 361 -406. | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted Access | - |
item.contributor | DUMORTIER, Freddy | - |
item.validation | ecoom 2023 | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral.pdf Restricted Access | Published version | 433.01 kB | Adobe PDF | View/Open Request a copy |
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