Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/42031
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | LENTJES, Bram | - |
dc.contributor.author | Windmolders, Mattias | - |
dc.contributor.author | Kuznetsov, Yuri A. | - |
dc.date.accessioned | 2024-01-04T15:12:15Z | - |
dc.date.available | 2024-01-04T15:12:15Z | - |
dc.date.issued | 2023 | - |
dc.date.submitted | 2023-12-18T15:05:29Z | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 33 (15) (Art N° 2350184) | - |
dc.identifier.issn | 0218-1274 | - |
dc.identifier.uri | http://hdl.handle.net/1942/42031 | - |
dc.description.abstract | In this paper, we deal with a classical object, namely, a nonhyperbolic limit cycle in a system of smooth autonomous ordinary differential equations. While the existence of a center manifold near such a cycle was assumed in several studies on cycle bifurcations based on periodic normal forms, no proofs were available in the literature until recently. The main goal of this paper is to give an elementary proof of the existence of a periodic smooth locally invariant center manifold near a nonhyperbolic cycle in finite-dimensional ordinary differential equations by using the Lyapunov–Perron method. In addition, we provide several explicit examples of analytic vector fields admitting (non)-unique, (non)-$C^{\infty}$-smooth and (non)-analytic periodic center manifolds. | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject.other | Center manifold theorem | - |
dc.subject.other | nonhyperbolic cycle | - |
dc.subject.other | ordinary differential equation | - |
dc.title | Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 15 | - |
dc.identifier.volume | 33 | - |
local.format.pages | 29 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Lentjes, B (corresponding author), Hasselt Univ, Dept Math, B-3590 Diepenbeek, Belgium. | - |
dc.description.notes | bram.lentjes@uhasselt.be; mattias.windmolders@student.kuleuven.be; | - |
dc.description.notes | i.a.kouznetsov@uu.nl | - |
local.publisher.place | 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 2350184 | - |
dc.identifier.doi | 10.1142/S0218127423501845 | - |
dc.identifier.isi | 001123635100002 | - |
dc.identifier.eissn | 1793-6551 | - |
local.provider.type | CrossRef | - |
local.description.affiliation | [Lentjes, Bram] Hasselt Univ, Dept Math, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Windmolders, Mattias] Katholieke Univ Leuven, Dept Math, B-3000 Leuven, Belgium. | - |
local.description.affiliation | [Kuznetsov, Yuri A.] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands. | - |
local.description.affiliation | [Kuznetsov, Yuri A.] Univ Twente, Dept Appl Math, Enschede, Netherlands. | - |
local.uhasselt.international | yes | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.contributor | LENTJES, Bram | - |
item.contributor | Windmolders, Mattias | - |
item.contributor | Kuznetsov, Yuri A. | - |
item.fullcitation | LENTJES, Bram; Windmolders, Mattias & Kuznetsov, Yuri A. (2023) Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs. In: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 33 (15) (Art N° 2350184). | - |
crisitem.journal.issn | 0218-1274 | - |
crisitem.journal.eissn | 1793-6551 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs.pdf | Peer-reviewed author version | 18.73 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.