Autor(es)

Mihara, Antonio ; Kuwana, Celia M. ; Budzinski, Roberto C. ; Muller, Lyle E. ; Medrano-T, Rene O.

• Tipo de documento: Artigo Científico
• Fonte: Chaos; v. 35, n. 3, p. 12-pg., 2025-03-01.

Resumo

We 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. (AU)

• Processo FAPESP: 24/06718-5 - Bacias de Atração: De mapas unidimensionais a redes complexas
• Beneficiário: Rene Orlando Medrano Torricos
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 23/08144-3 - Aspectos da dinâmica de redes de osciladores
• Beneficiário: Antonio Mihara
• Modalidade de apoio: Auxílio à Pesquisa - Regular