title: Kuramoto model with time-varying parameters.
abstract: We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.
authors.affiliation: Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.
authors.forename: Spase
authors.initials: S
authors.lastname: Petkoski
authors.forename: Aneta
authors.initials: A
authors.lastname: Stefanovska
mesh_terms: D008962:Models, Theoretical; D013997:Time Factors