Dispersive time-delay dynamical systems

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dc.contributor.authorPimenov, Alexander
dc.contributor.authorSlepneva, Svetlana
dc.contributor.authorHuyet, Guillaume
dc.contributor.authorVladimirov, Andrei G.
dc.contributor.funderDeutsche Forschungsgemeinschaften
dc.contributor.funderFP7 People: Marie-Curie Actionsen
dc.contributor.funderRussian Science Foundationen
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2017-05-22T10:54:28Z
dc.date.available2017-05-22T10:54:28Z
dc.date.issued2017-05-11
dc.date.updated2017-05-22T10:29:02Z
dc.description.abstractWe 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.sponsorshipDeutsche Forschungsgemeinschaft (SFB 787); Russian Science Foundation (Grant No. 14-41-00044); Science Foundation Ireland (Contract No. 11/PI/1152)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid193901
dc.identifier.citationPimenov, 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.118.193901en
dc.identifier.doi10.1103/PhysRevLett.118.193901
dc.identifier.endpage6en
dc.identifier.issn0031-9007
dc.identifier.issued19en
dc.identifier.journaltitlePhysical Review Lettersen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/4012
dc.identifier.volume118en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.projectinfo:eu-repo/grantAgreement/EC/FP7::SP3::PEOPLE/264687/EU/Postgraduate Research on Photonics as an Enabling Technology/PROPHETen
dc.rights© 2017 American Physical Society.en
dc.rights.urihttps://journals.aps.org/copyrightFAQ.html#posten
dc.subjectPolarizationen
dc.subjectDistributed delayen
dc.subjectModulation instabilityen
dc.subjectLaseren
dc.titleDispersive time-delay dynamical systemsen
dc.typeArticle (peer-reviewed)en
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