Entrainment transition in populations of random frequency oscillators.
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.
Hong
Hyunsuk
H
Department of Physics and RINPAC, Chonbuk National University, Jeonju 561-756, Korea.
Chaté
Hugues
H
Park
Hyunggyu
H
Tang
Lei-Han
LH