Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/38060
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dc.contributor.authorDUMORTIER, Freddy-
dc.date.accessioned2022-09-12T13:02:32Z-
dc.date.available2022-09-12T13:02:32Z-
dc.date.issued2022-
dc.date.submitted2022-08-25T08:45:56Z-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 333 , p. 361 -406-
dc.identifier.urihttp://hdl.handle.net/1942/38060-
dc.description.abstractWe 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.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights2022 Elsevier Inc. All rights reserved.-
dc.subject.otherPlanar vector field-
dc.subject.otherPlanar vector field-
dc.subject.otherPlanar diffeomorphism-
dc.subject.otherPlanar diffeomorphism-
dc.subject.otherNormal form-
dc.subject.otherNormal form-
dc.subject.otherInvariant manifold-
dc.subject.otherInvariant manifold-
dc.subject.otherInvariant foliation-
dc.subject.otherInvariant foliation-
dc.titleA flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral-
dc.typeJournal Contribution-
dc.identifier.epage406-
dc.identifier.spage361-
dc.identifier.volume333-
local.format.pages46-
local.bibliographicCitation.jcatA1-
dc.description.notesDumortier, F (corresponding author), Univ Hasselt, Dept Wiskunde, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium.-
dc.description.notesfreddy.dumortier@uhasselt.be-
local.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jde.2022.06.008-
dc.identifier.isiWOS:000831504100010-
local.provider.typewosris-
local.description.affiliation[Dumortier, Freddy] Univ Hasselt, Dept Wiskunde, Campus Diepenbeek,Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium.-
local.uhasselt.internationalno-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
item.fullcitationDUMORTIER, 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.validationecoom 2023-
item.contributorDUMORTIER, Freddy-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
Appears in Collections:Research publications
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