Dispersive time-delay dynamical systems

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dc.contributor.author Pimenov, Alexander
dc.contributor.author Slepneva, Svetlana
dc.contributor.author Huyet, Guillaume
dc.contributor.author Vladimirov, Andrei G.
dc.date.accessioned 2017-05-22T10:54:28Z
dc.date.available 2017-05-22T10:54:28Z
dc.date.issued 2017-05-11
dc.identifier.citation Pimenov, A., Slepneva, S., Huyet, G. and Vladimirov, A. G. (2017) 'Dispersive time-delay dynamical systems', Physical Review Letters, 118(19), 193901 (6pp). doi:10.1103/PhysRevLett.118.193901 en
dc.identifier.volume 118 en
dc.identifier.issued 19 en
dc.identifier.startpage 1 en
dc.identifier.endpage 6 en
dc.identifier.issn 0031-9007
dc.identifier.uri http://hdl.handle.net/10468/4012
dc.identifier.doi 10.1103/PhysRevLett.118.193901
dc.description.abstract We present a theoretical approach to investigate the effect of dispersion in dynamical systems commonly described by time-delay models. The introduction of a polarization equation provides a means to introduce dispersion as a distributed delay term. The expansion of this term in power series, as usually performed to study the propagation of waves in spatially extended systems, can lead to the appearance of spurious instabilities. This approach is illustrated using a long cavity laser, where in the normal dispersion regime both the experiment and theory show a stable operation, while a modulation instability, commonly referred as the Benjamin-Feir instability, is observed in the anomalous dispersion regime. en
dc.description.sponsorship Deutsche Forschungsgemeinschaft (SFB 787); Russian Science Foundation (Grant No. 14-41-00044); Science Foundation Ireland (Contract No. 11/PI/1152) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.rights © 2017 American Physical Society. en
dc.rights.uri https://journals.aps.org/copyrightFAQ.html#post en
dc.subject Polarization en
dc.subject Distributed delay en
dc.subject Modulation instability en
dc.subject Laser en
dc.title Dispersive time-delay dynamical systems en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Guillaume Huyet, Physics, University College Cork, Cork, Ireland. +353-21-490-3000 Email: guillaume.huyet@tyndall.ie en
dc.internal.availability Full text available en
dc.date.updated 2017-05-22T10:29:02Z
dc.description.version Published Version en
dc.internal.rssid 396015515
dc.contributor.funder Deutsche Forschungsgemeinschaft en
dc.contributor.funder FP7 People: Marie-Curie Actions en
dc.contributor.funder Russian Science Foundation en
dc.contributor.funder Science Foundation Ireland en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review Letters en
dc.internal.copyrightchecked Yes en
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress guillaume.huyet@tyndall.ie en
dc.identifier.articleid 193901
dc.relation.project info:eu-repo/grantAgreement/EC/FP7::SP3::PEOPLE/264687/EU/Postgraduate Research on Photonics as an Enabling Technology/PROPHET en

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