2010/08/03 by Karol Trojanowski, Trojanowski, Karol, Lech Longa +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.48550/arxiv.1008.0494
6 pages, 2 figures
arxiv created 2010/08/03 · arxiv updated 2010/08/04
By means of numerical integration we investigate the coherent and incoherent phases in a generalized Kuramoto model of phase-coupled oscillators with distance-dependent delay. Preserving the topology of a complete graph, we arrange the nodes on a square lattice while introducing finite interaction velocity, which gives rise to non-uniform delay. It is found that such delay facilitates incoherence and removes reentrant behavior found in models with uniform delay. A coupling-delay phase diagram is obtained and compared with previous results for uniform delay.