Bifurcation of discontinuous limit cycles of the Van der Pol equation

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dc.authoridAkhmet, Marat/0000-0002-2985-286X
dc.authoridTuran, Mehmet/0000-0002-1718-3902
dc.authorscopusid6506071803
dc.authorscopusid35782583700
dc.authorwosidAkhmet, Marat/ABA-2157-2020
dc.authorwosidTuran, Mehmet/JYQ-4459-2024
dc.authorwosidAkhmet, Marat/GLT-1972-2022
dc.contributor.authorTuran, Mehmet
dc.contributor.authorTuran, Mehmet
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:26:23Z
dc.date.available2024-07-05T14:26:23Z
dc.date.issued2014
dc.departmentAtılım Universityen_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, Turkeyen_US
dc.descriptionAkhmet, Marat/0000-0002-2985-286X; Turan, Mehmet/0000-0002-1718-3902en_US
dc.description.abstractIn 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.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [111T320]en_US
dc.description.sponsorshipThis work was supported by the Grant 111T320 from the Scientific and Technological Research Council of Turkey (TUBITAK).en_US
dc.identifier.citation8
dc.identifier.doi10.1016/j.matcom.2013.05.002
dc.identifier.endpage54en_US
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-84888292525
dc.identifier.startpage39en_US
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2013.05.002
dc.identifier.urihttps://hdl.handle.net/20.500.14411/136
dc.identifier.volume95en_US
dc.identifier.wosWOS:000328297300005
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDiscontinuous limit cycleen_US
dc.subjectVan der Pol equationen_US
dc.subjectHopf bifurcationen_US
dc.subjectCoupled oscillatorsen_US
dc.subjectCenter manifolden_US
dc.titleBifurcation of discontinuous limit cycles of the Van der Pol equationen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery5010d3f8-f1f2-4750-b086-e5b5edacaef7
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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