Exact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorAin Shams University-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorMahmoud, M. S.-
Autor(es): dc.creatorMedhat, M.-
Autor(es): dc.creatorCerdeira, Hilda A.-
Autor(es): dc.creatorEl-Nashar, Hassan F.-
Data de aceite: dc.date.accessioned2025-08-21T16:56:10Z-
Data de disponibilização: dc.date.available2025-08-21T16:56:10Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0218127423500050-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/248363-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/248363-
Descrição: dc.descriptionWe consider a Kuramoto model of four-coupled oscillators of nonidentical initial frequencies. Under the influence of coupling, the oscillators fall into a full phase locked state of a common frequency when the coupling strength surpasses a threshold value. We find numerically the parameters that control this distinguishable coupling constant at the moment the oscillators transit into an entire frequency synchronization when a complete phase lock state takes place. We are able to set apart a recognizable phase condition at the fully locked state. This phase condition helps to derive an analytic formula to calculate the coupling factor as soon as the oscillators depart to a full phase locking state. The explicit expression of the edge coupling factor is given in terms of the initial frequencies of the four oscillators. The formula valid for calculating the distinct coupling allows to find mathematical expressions to calculate the phase differences when the four-coupled phase oscillators are strictly at the full phase locked state and have a common frequency synchronization.-
Descrição: dc.descriptionDepartment of Physics Faculty of Science Ain Shams University, Abassia-
Descrição: dc.descriptionInstituto de Fisica Teorica Sao Paulo State University (UNESP), Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda-
Descrição: dc.descriptionInstituto de Fisica Teorica Sao Paulo State University (UNESP), Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Bifurcation and Chaos-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectcoupled phase oscillators-
Palavras-chave: dc.subjectFrequency synchronization-
Palavras-chave: dc.subjectKuramoto model-
Título: dc.titleExact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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