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Complete synchronization and delayed synchronization in couplings

2015-01Journal article Restricted access
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dc.contributor.authorLopes, Luís
dc.contributor.authorFernandes, Sara
dc.contributor.authorGrácio, Clara
dc.date.accessioned2016-04-14T14:21:40Z
dc.date.available2016-04-14T14:21:40Z
dc.date.issued2015-01
dc.description.abstractWe consider a general coupling of two identical chaotic dynamical systems, and we obtain the conditions for synchronization. We consider two types of synchronization: complete synchronization and delayed synchronization. Then, we consider four different couplings having different behaviors regarding their ability to synchronize either completely or with delay: Symmetric Linear Coupled System, Commanded Linear Coupled System, Commanded Coupled System with delay and symmetric coupled system with delay. The values of the coupling strength for which a coupling synchronizes define its Window of synchronization. We obtain analytically the Windows of complete synchronization, and we apply it for the considered couplings that admit complete synchronization. We also obtain analytically the Window of chaotic delayed synchronization for the only considered coupling that admits a chaotic delayed synchronization, the commanded coupled system with delay. At last, we use four different free chaotic dynamics (based in tent map, logistic map, three-piecewise linear map and cubic-like map) in order to observe numerically the analytically predicted windows.pt_PT
dc.identifier.citationLOPES, LUÍS MÁRIO; FERNANDES, SARA; GRÁCIO, CLARA; - Complete synchronization and delayed synchronization in couplings. Nonlinear dynamics. ISSN.0924-090X. Vol. 79, Nr. 2, (2015), 1615-1624.pt_PT
dc.identifier.doi10.1007/s11071-014-1764-8pt_PT
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.urihttp://hdl.handle.net/10400.21/5975
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSPRINGERpt_PT
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s11071-014-1764-8pt_PT
dc.subjectCouplings of chaotic dynamical systemspt_PT
dc.subjectComplete synchronizationpt_PT
dc.subjectDelayed synchronizationpt_PT
dc.subjectWindows of synchronizationpt_PT
dc.titleComplete synchronization and delayed synchronization in couplingspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1624pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage1615pt_PT
oaire.citation.volume79pt_PT
person.familyNameLopes
person.familyNameGrácio
person.givenNameLuís
person.givenNameClara
person.identifier.ciencia-id6913-18FD-6C4C
person.identifier.ciencia-id341B-5CB3-38B2
person.identifier.orcid0000-0002-5344-2975
person.identifier.orcid0000-0002-0397-5669
person.identifier.ridO-4348-2015
person.identifier.scopus-author-id7102509175
person.identifier.scopus-author-id6506947635
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationdc8c81b6-99e8-4f4d-b686-d1efdf7d8966
relation.isAuthorOfPublication99d6420f-ea64-43b3-b490-60705a2d1adb
relation.isAuthorOfPublication.latestForDiscovery99d6420f-ea64-43b3-b490-60705a2d1adb

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