Bifurcation of Three-Dimensional Discontinuous Cycles
| dc.contributor.author | Akhmet, M. U. | |
| dc.contributor.author | Turan, M. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:11:59Z | |
| dc.date.available | 2024-07-05T15:11:59Z | |
| dc.date.issued | 2009 | |
| dc.description | Akhmet, Marat/0000-0002-2985-286X; Turan, Mehmet/0000-0002-1718-3902 | en_US |
| dc.description.abstract | We consider three-dimensional discontinuous dynamical systems with non-fixed moments of impacts. Existence of the center manifold is proved for the system. The result is applied for the extension of the planar Hopf bifurcation theorem [M.U. Akhmet, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, Nonlinear Analysis 60 (2005) 163-178]. Illustrative examples are constructed for the theory. (C) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [106T418] | en_US |
| dc.description.sponsorship | This work was supported by Grant 106T418 from the Scientific and Technological Research Council of Turkey (TUBITAK). | en_US |
| dc.identifier.doi | 10.1016/j.na.2009.03.071 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.issn | 1873-5215 | |
| dc.identifier.scopus | 2-s2.0-72149125335 | |
| dc.identifier.uri | https://doi.org/10.1016/j.na.2009.03.071 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1522 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Theory, Methods & Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Impulsive differential equations | en_US |
| dc.subject | Hopf bifurcation | en_US |
| dc.subject | The center manifold | en_US |
| dc.title | Bifurcation of Three-Dimensional Discontinuous Cycles | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Akhmet, Marat/0000-0002-2985-286X | |
| gdc.author.id | Turan, Mehmet/0000-0002-1718-3902 | |
| gdc.author.institutional | Turan, Mehmet | |
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| gdc.author.wosid | Turan, Mehmet/JYQ-4459-2024 | |
| gdc.author.wosid | Akhmet, Marat/GLT-1972-2022 | |
| gdc.author.wosid | Akhmet, Marat/ABA-2157-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Akhmet, M. U.] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; [Akhmet, M. U.] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey; [Turan, M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | E2102 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | E2090 | en_US |
| gdc.description.volume | 71 | en_US |
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| gdc.oaire.keywords | Geometric methods in ordinary differential equations | |
| gdc.oaire.keywords | Bifurcation theory for ordinary differential equations | |
| gdc.oaire.keywords | Bifurcations of limit cycles and periodic orbits in dynamical systems | |
| gdc.oaire.keywords | the center manifold | |
| gdc.oaire.keywords | Hopf bifurcation | |
| gdc.oaire.keywords | impulsive differential equations | |
| gdc.oaire.keywords | Ordinary differential equations with impulses | |
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