title: Explosive synchronization enhanced by time-delayed coupling.
abstract: This paper deals with the emergence of explosive synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees, and a time delay is included in the system. This assumption allows enhancing the explosive transition to reach a synchronous state. We provide an analytical treatment developed in a star graph, which reproduces results obtained in scale-free networks. Our findings have important implications in understanding the synchronization of complex networks since the time delay is present in most real-world complex systems due to the finite speed of the signal transmission over a distance.
authors.affiliation: Instituto de Física de São Carlos, Universidade de São Paulo, Avenida Trabalhador São Carlense 400, Caixa Postal 369, CEP 13560-970, São Carlos, São Paulo, Brazil.
authors.forename: Thomas Kauê Dal'Maso
authors.initials: TK
authors.lastname: Peron
authors.forename: Francisco A
authors.initials: FA
authors.lastname: Rodrigues
mesh_terms: D003198:Computer Simulation; D005246:Feedback; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods*; D013997:Time Factors