Synchronization of discrete oscillators on ring lattices and small-world networks

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dc.creatorKevin Liu Rodrigues
dc.creatorRonald Dickman
dc.date.accessioned2022-05-19T14:57:50Z
dc.date.accessioned2025-09-08T23:00:12Z
dc.date.available2022-05-19T14:57:50Z
dc.date.issued2020-04-16
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.doihttps://doi.org/10.1088/1742-5468/ab6b18
dc.identifier.issn1742-5468
dc.identifier.urihttps://hdl.handle.net/1843/41819
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Statistical Mechanics: Theory and Experiment
dc.rightsAcesso Restrito
dc.subjectSincronização
dc.subjectAnalise estocástica
dc.subjectDinâmica de redes
dc.subject.otherNetwork dynamics
dc.subject.otherStochastic processes
dc.subject.otherDynamical processes
dc.titleSynchronization of discrete oscillators on ring lattices and small-world networks
dc.typeArtigo de periódico
local.citation.epage23
local.citation.issue04
local.citation.spage1
local.citation.volume2020
local.description.resumoA lattice of three-state stochastic phase-coupled oscillators exhibits a phase transition at a critical value of the coupling parameter a, leading to stable global oscillations. On a complete graph, upon further increase in a, the model exhibits an infinite-period (IP) phase transition, at which collective oscillations cease and discrete rotational (C3) symmetry is broken. The IP phase does not exist on finite-dimensional lattices. In the case of large negative values of the coupling no synchronization is expected, but nonetheless it was shown that travelling-wave steady states are stable, displaying local order (Escaff et al 2014 Phys. Rev. E 90 052111). Here, we verify the IP phase in systems with long-range coupling but of lower connectivity than a complete graph and show that even for large positive coupling, the system sometimes fails to reach global order. The ensuing travelling-wave state appears to be a metastable configuration whose birth and decay (into the previously described phases) are associated with the initial conditions and fluctuations.
local.identifier.orcidhttps://orcid.org/0000-0003-2378-9393
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://iopscience.iop.org/article/10.1088/1742-5468/ab6b18/meta

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