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Strong generalized synchronization with a particular relationship R between the coupled systems

2018Conference object Open access
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dc.contributor.authorGrácio, Clara
dc.contributor.authorFernandes, Sara
dc.contributor.authorLopes, Luís
dc.date.accessioned2018-12-10T12:15:39Z
dc.date.available2018-12-10T12:15:39Z
dc.date.issued2018
dc.description.abstractThe question of the chaotic synchronization of two coupled dynamical systems is an issue that interests researchers in many fields, from biology to psychology, through economics, chemistry, physics, and many others. The different forms of couplings and the different types of synchronization, give rise to many problems, most of them little studied. In this paper we deal with general couplings of two dynamical systems and we study strong generalized synchronization with a particular relationship R between them. Our results include the definition of a window in the domain of the coupling strength, where there is an exponentially stable solution, and the explicit determination of this window. In the case of unidirectional or symmetric couplings, this window is presented in terms of the maximum Lyapunov exponent of the systems. Examples of applications to chaotic systems of dimension one and two are presented.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationGRÁCIO, Clara; FERNANDES, Sara; LOPES, Luís Mário – Strong generalized synchronization with a particular relationship R between the coupled systems. Journal of Physics Conference Series. ISSN 1742-6588. Vol. 990, (2018), pp. 1-9pt_PT
dc.identifier.doi10.1088/1742-6596/990/1/012005pt_PT
dc.identifier.issn1742-6588
dc.identifier.urihttp://hdl.handle.net/10400.21/9151
dc.language.isoengpt_PT
dc.publisherIOP Publishingpt_PT
dc.relation.publisherversionhttp://iopscience.iop.org/article/10.1088/1742-6596/990/1/012005/pdfpt_PT
dc.subjectChaotic synchronizationpt_PT
dc.subjectCouplingspt_PT
dc.subjectSincronização caóticapt_PT
dc.subjectAcoplamentospt_PT
dc.titleStrong generalized synchronization with a particular relationship R between the coupled systemspt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04674%2F2013/PT
oaire.citation.endPage9pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Physics: Conference Seriespt_PT
oaire.citation.volume990pt_PT
oaire.fundingStream5876
person.familyNameGrácio
person.familyNameLopes
person.givenNameClara
person.givenNameLuís
person.identifier.ciencia-id341B-5CB3-38B2
person.identifier.ciencia-id6913-18FD-6C4C
person.identifier.orcid0000-0002-0397-5669
person.identifier.orcid0000-0002-5344-2975
person.identifier.ridO-4348-2015
person.identifier.scopus-author-id6506947635
person.identifier.scopus-author-id7102509175
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isAuthorOfPublication99d6420f-ea64-43b3-b490-60705a2d1adb
relation.isAuthorOfPublicationdc8c81b6-99e8-4f4d-b686-d1efdf7d8966
relation.isAuthorOfPublication.latestForDiscoverydc8c81b6-99e8-4f4d-b686-d1efdf7d8966
relation.isProjectOfPublication8f040610-5b60-45e4-8d1e-d4e07aebcedb
relation.isProjectOfPublication.latestForDiscovery8f040610-5b60-45e4-8d1e-d4e07aebcedb

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