2007/01/31 by Hyunsuk Hong, Hugues Chaté, Hugues Chate +3
Computer Science · Engineering · Neuroscience · Physics and Astronomy · #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.184101
published as Phys. Rev. Lett. 99, 184101 (2007) · published version
openalex publication_date 2007/10/29 · arxiv created 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The entrainment transition of coupled random frequency oscillators is revisited. The Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size effects leading to a correlation size exponent nu=5/2. Simulations of locally coupled oscillators in d dimensions reveal two types of frequency entrainment: mean-field behavior at d>4 and aggregation of compact synchronized domains in three and four dimensions. In the latter case, scaling arguments yield a correlation length exponent nu=2/(d-2), in good agreement with numerical results.