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http://hdl.handle.net/1942/42672
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DC Field | Value | Language |
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dc.contributor.author | BOSSCHAERT, Maikel | - |
dc.contributor.author | Kuznetsov, Yu. A. | - |
dc.date.accessioned | 2024-03-25T10:01:09Z | - |
dc.date.available | 2024-03-25T10:01:09Z | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-03-25T09:14:31Z | - |
dc.identifier.citation | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 23 (1) , p. 553 -591 | - |
dc.identifier.issn | 1536-0040 | - |
dc.identifier.uri | http://hdl.handle.net/1942/42672 | - |
dc.description.abstract | In this paper, we will perform the parameter -dependent center manifold reduction near the generic and transcritical codimension two Bogdanov-Takens bifurcation in classical delay differential equations. Using an approximation to the homoclinic solutions derived with a generalized Lindstedt-Poincare'\ method, we develop a method to initialize the continuation of the homoclinic bifurcation curves emanating from these points. The normal form transformation is derived in the functional analytic perturbation framework for dual semigroups (sun -star calculus) using a normalization technique based on the Fredholm alternative. The obtained expressions give explicit formulas, which have been implemented in the freely available bifurcation software package DDE-BifTool. The effectiveness is demonstrated on various models | - |
dc.language.iso | en | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject.other | generic Bogdanov-Takens bifurcation | - |
dc.subject.other | transcritical Bogdanov-Takens bifurcation | - |
dc.subject.other | homoclinic solutions | - |
dc.subject.other | delay differential equations | - |
dc.subject.other | sun-star calculus | - |
dc.subject.other | strongly continuous semigroups | - |
dc.subject.other | center manifold theorem | - |
dc.subject.other | DDE-BifTool | - |
dc.title | Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 591 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 553 | - |
dc.identifier.volume | 23 | - |
local.format.pages | 39 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Bosschaert, MM (corresponding author), Hasselt Univ, Dept Math, Diepenbeek Campus,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
dc.description.notes | maikel.bosschaert@uhasselt.be; I.A.Kouznetsov@uu.nl | - |
local.publisher.place | 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1137/22M1527532 | - |
dc.identifier.isi | 001171420800011 | - |
dc.identifier.eissn | - | |
local.provider.type | wosris | - |
local.description.affiliation | [Bosschaert, M. M.] Hasselt Univ, Dept Math, Diepenbeek Campus,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Kuznetsov, Yu. A.] Univ Utrecht, Dept Math, Budapestlaan 6, NL-3508 TA Utrecht, Netherlands. | - |
local.description.affiliation | [Kuznetsov, Yu. A.] Univ Twente, Dept Appl Math, Zilverling Bldg, NL-7500AE Enschede, Netherlands. | - |
local.uhasselt.international | yes | - |
item.fulltext | No Fulltext | - |
item.accessRights | Closed Access | - |
item.contributor | BOSSCHAERT, Maikel | - |
item.contributor | Kuznetsov, Yu. A. | - |
item.fullcitation | BOSSCHAERT, Maikel & Kuznetsov, Yu. A. (2024) Bifurcation Analysis of Bogdanov-Takens Bifurcations in Delay Differential Equations. In: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 23 (1) , p. 553 -591. | - |
crisitem.journal.issn | 1536-0040 | - |
Appears in Collections: | Research publications |
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