Border-collision bifurcations in a driven time-delay system

dc.check.date2021-02-07
dc.check.infoAccess to this article is restricted until 12 months after publication by request of the publisher.en
dc.contributor.authorRyan, Pierce
dc.contributor.authorKeane, Andrew
dc.contributor.authorAmann, Andreas
dc.contributor.funderIrish Research Councilen
dc.contributor.funderMcAfeeen
dc.date.accessioned2020-05-14T10:50:35Z
dc.date.available2020-05-14T10:50:35Z
dc.date.issued2020-02-07
dc.date.updated2020-05-14T10:42:05Z
dc.description.abstractWe show that a simple piecewise-linear system with time delay and periodic forcing gives rise to a rich bifurcation structure of torus bifurcations and Arnold tongues, as well as multistability across a significant portion of the parameter space. The simplicity of our model enables us to study the dynamical features analytically. Specifically, these features are explained in terms of border-collision bifurcations of an associated Poincaré map. Given that time delay and periodic forcing are common ingredients in mathematical models, this analysis provides widely applicable insight.en
dc.description.sponsorshipIrish Research Council and McAfee (Irish Research Council Employment Based Postgraduate Programme)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid023121en
dc.identifier.citationRyan, P., Keane, A. and Amann, A. (2020) 'Border-collision bifurcations in a driven time-delay system', Chaos, 30(2), 023121 (12pp). doi: 10.1063/1.5119982en
dc.identifier.doi10.1063/1.5119982en
dc.identifier.eissn1089-7682
dc.identifier.endpage12en
dc.identifier.issn1054-1500
dc.identifier.issued2en
dc.identifier.journaltitleChaosen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/9951
dc.identifier.volume30en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rights© 2020, the Authors. Published under license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the authors and AIP Publishing. This article appeared as: Ryan, P., Keane, A. and Amann, A. (2020) 'Border-collision bifurcations in a driven time-delay system', Chaos, 30(2), 023121 (12pp), doi: 10.1063/1.5119982, and may be found at https://doi.org/10.1063/1.5119982en
dc.subjectPiecewise-linear systemen
dc.subjectTime delayen
dc.subjectPeriodic forcingen
dc.subjectTorus bifurcationsen
dc.subjectArnold tonguesen
dc.subjectBorder-collision bifurcationsen
dc.subjectPoincaré mapen
dc.titleBorder-collision bifurcations in a driven time-delay systemen
dc.typeArticle (peer-reviewed)en
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