Bifurcations and collective states of Kuramoto oscillators with higher-order interactions and rotational symmetry breaking

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Autor(es): dc.contributorUniversidade Federal de São Paulo (UNIFESP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorWestern University-
Autor(es): dc.contributorFields Institute-
Autor(es): dc.creatorMihara, Antonio-
Autor(es): dc.creatorKuwana, Célia M.-
Autor(es): dc.creatorBudzinski, Roberto C.-
Autor(es): dc.creatorMuller, Lyle E.-
Autor(es): dc.creatorMedrano-T, Rene O.-
Data de aceite: dc.date.accessioned2025-08-21T15:26:57Z-
Data de disponibilização: dc.date.available2025-08-21T15:26:57Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2025-03-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1063/5.0239017-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/300906-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/300906-
Descrição: dc.descriptionWe study a network of identical Kuramoto oscillators with higher-order interactions that also break the rotational symmetry of the system. To gain analytical insights into this model, we use the Watanabe-Strogatz Ansatz, which allows us to reduce the dimensionality of the original system of equations. The study of stability and bifurcations of the reduced system reveals a codimension two Bogdanov-Takens bifurcation and several other associated bifurcations. Such analysis is corroborated by numerical simulations of the associated Kuramoto system, which, in turn, unveils a variety of collective behaviors such as synchronized motion, oscillation death, chimeras, incoherent states, and traveling waves. Importantly, this system displays a case where alternating chimeras emerge in an indistinguishable single population of oscillators, which may offer insights into the unihemispheric slow-wave sleep phenomenon observed in mammals and birds.-
Descrição: dc.descriptionDepartamento de Física Universidade Federal de São Paulo, UNIFESP Campus, SP-
Descrição: dc.descriptionDepartamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, UNIFESP Campus, SP-
Descrição: dc.descriptionDepartment of Mathematics Western University-
Descrição: dc.descriptionWestern Institute for Neuroscience Western University-
Descrição: dc.descriptionFields Lab for Network Science Fields Institute-
Descrição: dc.descriptionDepartamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, UNIFESP Campus, SP-
Idioma: dc.languageen-
Relação: dc.relationChaos-
???dc.source???: dc.sourceScopus-
Título: dc.titleBifurcations and collective states of Kuramoto oscillators with higher-order interactions and rotational symmetry breaking-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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