title: Noise-induced synchronization in small world networks of phase oscillators.
abstract: A small-world (SW) network of similar phase oscillators, interacting according to the Kuramoto model, is studied numerically. It is shown that deterministic Kuramoto dynamics on SW networks has various stable stationary states. This can be attributed to the so-called defect patterns in an SW network, which it inherits from deformation of helical patterns in its regular parent. Turning on an uncorrelated random force causes vanishing of the defect patterns, hence increasing the synchronization among oscillators for moderate noise intensities. This phenomenon, called stochastic synchronization, is generally observed in some natural networks such as the brain neural network.
authors.affiliation: Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran.
authors.forename: Reihaneh Kouhi
authors.initials: RK
authors.lastname: Esfahani
authors.forename: Farhad
authors.initials: F
authors.lastname: Shahbazi
authors.forename: Keivan Aghababaei
authors.initials: KA
authors.lastname: Samani
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D001921:Brain / Q000502:physiology*; D003198:Computer Simulation; D003344:Cortical Synchronization / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D059629:Signal-To-Noise Ratio