2000/03/10 by Damián H. Zanette, Damian H. Zanette, Zanette, Damian H.
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #nlin.AO
paper · pdf · doi:10.48550/arxiv.cond-mat/0003174
13 pages, 3 figures
arxiv created 2000/03/10 · openalex publication_date 2000/03/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an ensemble of globally coupled phase oscillators whose interaction is transmitted at finite speed. This introduces time delays, which make the spatial coordinates relevant in spite of the infinite range of the interaction. We show that one-dimensional arrays synchronize in an asymptotic state where all the oscillators have the same frequency, whereas their phases are distributed in spatial structures that -in the case of periodic boundaries- can propagate, much as in coupled systems with local interactions.