title: Experimental and theoretical approach for the clustering of globally coupled density oscillators based on phase response.
abstract: We investigated the phase-response curve of a coupled system of density oscillators with an analytical approach. The behaviors of two-, three-, and four-coupled systems seen in the experiments were reproduced by the model considering the phase-response curve. Especially in a four-coupled system, the clustering state and its incidence rate as functions of the coupling strength are well reproduced with this approach. Moreover, we confirmed that the shape of the phase-response curve we obtained analytically was close to that observed in the experiment where a perturbation is added to a single-density oscillator. We expect that this approach to obtaining the phase-response curve is general in the sense that it could be applied to coupled systems of other oscillators such as electrical-circuit oscillators, metronomes, and so on.
authors: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors: Masanobu
authors: M
authors: Horie
authors: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors: Tatsunari
authors: T
authors: Sakurai
authors: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors: Hiroyuki
authors: H
authors: Kitahata
mesh_terms: D003198:Computer Simulation; D004867:Equipment Design; D057446:Hydrodynamics; D007834:Lasers; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010507:Periodicity; D044367:Phase Transition; D014867:Water / Q000737:chemistry
chemical_list: D014867:Water