Basin sizes depend on stable eigenvalues in the Kuramoto model

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dc.contributor.authorMihara, Antonio
dc.contributor.authorZaks, Michael
dc.contributor.authorMacau, Elbert E. N.
dc.contributor.authorMedrano-T, Rene O. [UNESP]
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionHumboldt University of Berlin
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2023-03-01T20:48:03Z
dc.date.available2023-03-01T20:48:03Z
dc.date.issued2022-05-01
dc.description.abstractWe show that for the Kuramoto model (with identical phase oscillators equally coupled), its global statistics and size of the basins of attraction can be estimated through the eigenvalues of all stable (frequency) synchronized states. This result is somehow unexpected since, by doing that, one could just use a local analysis to obtain the global dynamic properties. But recent works based on Koopman and Perron-Frobenius operators demonstrate that the global features of a nonlinear dynamical system, with some specific conditions, are somehow encoded in the local eigenvalues of its equilibrium states. Recognized numerical simulations in the literature reinforce our analytical results.en
dc.description.affiliationDepartamento de Física Universidade Federal de São Paulo UNIFESP Campus Diadema
dc.description.affiliationInstitute of Physics Humboldt University of Berlin
dc.description.affiliationUniversidade Federal de São Paulo UNIFESP Campus São José Dos Campos
dc.description.affiliationDepartamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista UNESP Campus Rio Claro
dc.description.affiliationUnespDepartamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista UNESP Campus Rio Claro
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.105.L052202
dc.identifier.citationPhysical Review E, v. 105, n. 5, 2022.
dc.identifier.doi10.1103/PhysRevE.105.L052202
dc.identifier.issn2470-0053
dc.identifier.issn2470-0045
dc.identifier.scopus2-s2.0-85131460097
dc.identifier.urihttp://hdl.handle.net/11449/241120
dc.language.isoeng
dc.relation.ispartofPhysical Review E
dc.sourceScopus
dc.titleBasin sizes depend on stable eigenvalues in the Kuramoto modelen
dc.typeArtigo
unesp.author.orcid0000-0003-0866-2466 0000-0003-0866-2466[4]

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