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Phase Synchronization and Polarization Ordering of Globally Coupled Oscillators

AuthorsScirè, Alessandro ; Colet, Pere ; San Miguel, Maxi
Keywords[PACS] Oscillations, chaos, and bifurcations
[PACS] Resonators, cavities, amplifiers, arrays, and rings
[PACS] Synchronization; coupled oscillators
[PACS] Polarization
Issue Date8-Sep-2004
PublisherAmerican Physical Society
CitationPhysical Review E 70, 035201(R) (1-4) (2004)
AbstractWe introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions: to phase synchronization and to polarization ordering. Introducing a global-phase and a polarization order parameters, we show that the transition to global-phase synchrony is found when the coupling overcomes a critical value and that polarization order enhancement can not take place before global-phase synchrony. We develop a self-consistent theory to determine both order parameters in good agreement with numerical results.
Description4 pages, 2 figures.-- PACS nrs.: 82.40.Bj, 42.60.Da, 05.45.Xt, 42.25.Ja.-- PMID: 15524572 [PubMed].-- ArXiv pre-print available at: http://arxiv.org/abs/physics/0403038
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.70.035201
Appears in Collections:(IFISC) Artículos
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