title: Synchronization of oscillators in a Kuramoto-type model with generic coupling.
abstract: We study synchronization properties of coupled oscillators on networks that allow description in terms of global mean field coupling. These models generalize the standard Kuramoto-Sakaguchi model, allowing for different contributions of oscillators to the mean field and to different forces from the mean field on oscillators. We present the explicit solutions of self-consistency equations for the amplitude and frequency of the mean field in a parametric form, valid for noise-free and noise-driven oscillators. As an example, we consider spatially spreaded oscillators for which the coupling properties are determined by finite velocity of signal propagation.
authors.affiliation: Department of Physics and Astronomy, Potsdam University, 14476 Potsdam, Germany.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Vlasov
authors.affiliation: National Institute for Space Research - INPE, 12227-010 Sao Jose dos Campos, SP, Brazil.
authors.forename: Elbert E N
authors.initials: EE
authors.lastname: Macau
authors.affiliation: Department of Physics and Astronomy, Potsdam University, 14476 Potsdam, Germany.
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky