Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/1560
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | DUMORTIER, Freddy | - |
dc.date.accessioned | 2007-06-01T11:18:47Z | - |
dc.date.available | 2007-06-01T11:18:47Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134(10). p. 2989-2996 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/1942/1560 | - |
dc.description.abstract | The paper deals with asymptotic phase and invariant foliations near periodic orbits, extending for two-dimensional smooth vector fields results that have been obtained by Chicone and Liu (2004). The problem of the existence of asymptotic phase is completely solved for analytic vector fields and is reduced to a problem of infinite codimension for C infinity systems. Moreover it is proven that whenever asymptotic phase occurs, or in other words, when the periodic orbit is isochronous, then there also exists a C infinity foliation, with leaves transversally cutting the periodic orbit and invariant under the flow of the vector field. The paper also provides some results in three dimensions. | - |
dc.language.iso | en | - |
dc.publisher | American Mathematical Society | - |
dc.subject.other | periodic orbit; asymptotic phase; isochronous; invariant foliations;; Poincare map; return-time map | - |
dc.title | Asymptotic phase and invariant foliations near periodic orbits | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 2996 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | 2989 | - |
dc.identifier.volume | 134 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1090/S0002-9939-06-08392-4 | - |
dc.identifier.isi | 000238321100026 | - |
item.accessRights | Closed Access | - |
item.fullcitation | DUMORTIER, Freddy (2006) Asymptotic phase and invariant foliations near periodic orbits. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134(10). p. 2989-2996. | - |
item.contributor | DUMORTIER, Freddy | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2007 | - |
crisitem.journal.issn | 0002-9939 | - |
crisitem.journal.eissn | 1088-6826 | - |
Appears in Collections: | Research publications |
SCOPUSTM
Citations
2
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
3
checked on Apr 22, 2024
Page view(s)
72
checked on Jun 28, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.