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Published on: June 29, 2018
Entrainment transition in populations of random frequency oscillators
Hyunsuk Hong1, Hugues Chaté, Hyunggyu Park
1Department of Physics and RINPAC, Chonbuk National University, Jeonju 561-756, Korea.
Abstract:
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.
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