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Synchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Maps

2013-08Journal article Restricted access
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dc.contributor.authorFournier-Prunaret, Danièle
dc.contributor.authorRocha, J. Leonel
dc.contributor.authorCaneco, Acilina
dc.contributor.authorFernandes, Sara
dc.contributor.authorGrácio, Clara
dc.date.accessioned2014-09-18T09:05:09Z
dc.date.available2014-09-18T09:05:09Z
dc.date.issued2013-08
dc.description.abstractThis paper is devoted to the synchronization of a dynamical system defined by two different coupling versions of two identical piecewise linear bimodal maps. We consider both local and global studies, using different tools as natural transversal Lyapunov exponent, Lyapunov functions, eigenvalues and eigenvectors and numerical simulations. We obtain theoretical results for the existence of synchronization on coupling parameter range. We characterize the synchronization manifold as an attractor and measure the synchronization speed. In one coupling version, we give a necessary and sufficient condition for the synchronization. We study the basins of synchronization and show that, depending upon the type of coupling, they can have very different shapes and are not necessarily constituted by the whole phase space; in some cases, they can be riddled.por
dc.identifier.citationFOURNIER-PRUNARET, Daniele; [et al] - Synchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Maps. International Journal of Bifurcation and Chaos. (2013).por
dc.identifier.doi10.1142/S0218127413501344
dc.identifier.issn0218-1274
dc.identifier.urihttp://hdl.handle.net/10400.21/3815
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherWorld Scientific Publicationspor
dc.relation.ispartofseries;1350134
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/S0218127413501344por
dc.subjectAlmost global synchronizationpor
dc.subjectLyapunov exponentspor
dc.subjectBasinspor
dc.subjectLyapunov functionspor
dc.titleSynchronization and Basins of Synchronized in Two-Dimensional Piecewise Maps Via Coupling Three Pieces of One-Dimensional Mapspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceSingaporepor
oaire.citation.issue8por
oaire.citation.titleInternational Journal of Bifurcation and Chaospor
oaire.citation.volume23por
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor

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