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Title: | Phase Synchronization and Polarization Ordering of Globally Coupled Oscillators |
Authors: | Scirè, Alessandro ![]() ![]() ![]() |
Keywords: | [PACS] Oscillations, chaos, and bifurcations [PACS] Resonators, cavities, amplifiers, arrays, and rings [PACS] Synchronization; coupled oscillators [PACS] Polarization Optics |
Issue Date: | 8-Sep-2004 |
Publisher: | American Physical Society |
Citation: | Physical Review E 70, 035201(R) (1-4) (2004) |
Abstract: | We 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. |
Description: | 4 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 |
URI: | http://hdl.handle.net/10261/7531 |
DOI: | 10.1103/PhysRevE.70.035201 |
ISSN: | 1539-3755 |
Appears in Collections: | (IFISC) Artículos |
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