Bifurcation of Discontinuous Limit Cycles of the Van Der Pol Equation
| dc.authorid | Akhmet, Marat/0000-0002-2985-286X | |
| dc.authorid | Turan, Mehmet/0000-0002-1718-3902 | |
| dc.authorscopusid | 6506071803 | |
| dc.authorscopusid | 35782583700 | |
| dc.authorwosid | Akhmet, Marat/ABA-2157-2020 | |
| dc.authorwosid | Turan, Mehmet/JYQ-4459-2024 | |
| dc.authorwosid | Akhmet, Marat/GLT-1972-2022 | |
| dc.contributor.author | Akhmet, Marat | |
| dc.contributor.author | Turan, Mehmet | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:26:23Z | |
| dc.date.available | 2024-07-05T14:26:23Z | |
| dc.date.issued | 2014 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Akhmet, Marat] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey; [Turan, Mehmet] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description | Akhmet, Marat/0000-0002-2985-286X; Turan, Mehmet/0000-0002-1718-3902 | en_US |
| dc.description.abstract | In this paper, we apply the methods of B-equivalence and psi-substitution to prove the existence of discontinuous limit cycle for the Van der Pol equation with impacts on surfaces. The result is extended through the center manifold theory for coupled oscillators. The main novelty of the result is that the surfaces, where the jumps occur, are not flat. Examples and simulations are provided to demonstrate the theoretical results as well as application opportunities. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [111T320] | en_US |
| dc.description.sponsorship | This work was supported by the Grant 111T320 from the Scientific and Technological Research Council of Turkey (TUBITAK). | en_US |
| dc.identifier.citationcount | 8 | |
| dc.identifier.doi | 10.1016/j.matcom.2013.05.002 | |
| dc.identifier.endpage | 54 | en_US |
| dc.identifier.issn | 0378-4754 | |
| dc.identifier.issn | 1872-7166 | |
| dc.identifier.scopus | 2-s2.0-84888292525 | |
| dc.identifier.startpage | 39 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.matcom.2013.05.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/136 | |
| dc.identifier.volume | 95 | en_US |
| dc.identifier.wos | WOS:000328297300005 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Turan, Mehmet | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 12 | |
| dc.subject | Discontinuous limit cycle | en_US |
| dc.subject | Van der Pol equation | en_US |
| dc.subject | Hopf bifurcation | en_US |
| dc.subject | Coupled oscillators | en_US |
| dc.subject | Center manifold | en_US |
| dc.title | Bifurcation of Discontinuous Limit Cycles of the Van Der Pol Equation | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 9 | |
| dspace.entity.type | Publication | |
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