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Rectangular structures in the model of an optoelectronic oscillator with delay

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dc.contributor.authorKashchenko, S. A.
dc.contributor.authorGrigorieva, E. V.
dc.date.accessioned2024-11-29T10:57:46Z
dc.date.available2024-11-29T10:57:46Z
dc.date.issued2021
dc.description.abstract© 2020 Elsevier B.V.We study the dynamics of the differential-difference model of an optoelectronic generator with delayed feedback in three bifurcation cases. Boundary-value problems are obtained which play the role of normal forms. Stationary inhomogeneous solutions of such problems are structures with a profile in the form of a step or several rectangular pulses. The existence of families of the structures, which differ in the number of pulses and/or their symmetry, is shown. Each of these structures corresponds to rectangular oscillations in the source system with delay. The frequencies and amplitudes of such oscillating solutions to the delay equation are determined. The multistability of oscillating solutions is illustrated. The results provide a justification for the spatiotemporal representation of solutions of the delay equation.
dc.identifier.citationKashchenko, S. A. Rectangular structures in the model of an optoelectronic oscillator with delay / Kashchenko, S.A., Grigorieva, E.V. // Physica D: Nonlinear Phenomena. - 2021. - 417. - 10.1016/j.physd.2020.132818
dc.identifier.doi10.1016/j.physd.2020.132818
dc.identifier.urihttps://www.doi.org/10.1016/j.physd.2020.132818
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85098540855&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000659052500010
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/23553
dc.relation.ispartofPhysica D: Nonlinear Phenomena
dc.titleRectangular structures in the model of an optoelectronic oscillator with delay
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume417
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relation.isOrgUnitOfPublication.latestForDiscovery010157d0-1f75-46b2-ab5b-712e3424b4f5
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