Mobility induces global synchronization of oscillators in periodic extended systems

We study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying local order. We use a statistical description valid for a la...

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Autores principales: Peruani, F., Nicola, E.M., Morelli, L.G.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2010
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13672630_v12_n_p_Peruani
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Sumario:We study the synchronization of locally coupled noisy phase oscillators that move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits wavelike states displaying 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 mobility above which all wave-like solutions become unstable. Through Langevin simulations, we show that the transition to global synchronization is mediated by a shift in the relative size of attractor basins associated with wavelike states. Mobility disrupts these states and paves the way for the system to attain global synchronization. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.