Mobility induces global synchronization of oscillators in periodic extended systems

Details Mobility induces global synchronization of oscillators in periodic extended systems Mobility induces global synchronization of oscillators in periodic extended systems

2010-03-22

arxiv.org/abs/1003.4253v2

New Journal of Physics 12, 093029 (2010)

Physics

Biological Physics

Scientific paper

10.1088/1367-2630/12/9/093029

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which display local order. We use a statistical description valid for a large number of oscillators to show that for any finite system there is a critical spatial diffusion above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by the relative size of attractor basins associated to wave-like states. Spatial diffusion disrupts these states and paves the way for the system to attain global synchronization.

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