title: Phase multistability in a dynamical small world network.
abstract: The effect of phase multistability is explored in a small world network of periodic oscillators with diffusive couplings. The structure of the network represents a ring with additional non-local links, which spontaneously arise and vanish between arbitrary nodes. The dynamics of random couplings is modeled by "birth" and "death" stochastic processes by means of the cellular automate approach. The evolution of the network under gradual increasing of the number of random couplings goes through stages of phases fluctuations and spatial cluster formation. Finally, in the presence of non-local couplings the phase multistability "dies" and only the in-phase regime survives.
authors: Radiophysics and Nonlinear Dynamics Department, Saratov State University, Saratov, Russia.
authors: A V
authors: AV
authors: Shabunin