Enhancing multivariate singular spectrum analysis for phase synchronization: the role of observability

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dc.creatorLeonardo L. Portes
dc.creatorLuis Antonio Aguirre
dc.date.accessioned2025-03-26T13:37:54Z
dc.date.accessioned2025-09-08T23:45:07Z
dc.date.available2025-03-26T13:37:54Z
dc.date.issued2016
dc.identifier.doi10.1063/1.4963013
dc.identifier.issn1054-1500
dc.identifier.urihttps://hdl.handle.net/1843/80930
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofChaos: An Interdisciplinary Journal of Nonlinear Science
dc.rightsAcesso Restrito
dc.subjectComputação
dc.subjectSistemas lineares
dc.subjectAlgoritmos
dc.subjectCompiladores (Computadores)
dc.subject.otherCoupled oscillators, Dynamical systems, State functions, Wave mechanics, Cognitive science, Noise floor, Spectroscopy, Nerve cells, Membrane potential, Neuron model
dc.subject.otherphase synchronization
dc.subject.otheraugmented trajectory matrix
dc.titleEnhancing multivariate singular spectrum analysis for phase synchronization: the role of observability
dc.typeArtigo de periódico
local.citation.issue9
local.citation.spage093112
local.citation.volume26
local.description.resumoMultivariate singular spectrum analysis (M-SSA) was recently adapted to study systems of coupled oscillators. It does not require an a priori definition for phase nor detailed knowledge of the individual oscillators, but it uses all the variables of each system. This aspect could be restrictive for practical applications, since usually just a few (sometimes only one) variables are measured. Based on dynamical systems and observability theories, we first show how to apply the M-SSA with only one variable and show the conditions to achieve good performance. Next, we provide numerical evidence that this single-variable approach enhances the explanatory power compared to the original M-SSA when computed with all the system variables. This could have important practical implications, as pointed out using benchmark oscillators.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://pubs.aip.org/aip/cha/article-abstract/26/9/093112/136159

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