期刊
PHYSICS LETTERS A
卷 375, 期 28-29, 页码 2714-2719出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.06.016
关键词
Oscillator populations; Kuramoto model; Resonant interaction
We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase model for the situation, where the natural frequencies of two interacting subpopulations are in relation 2 : 1. Depending on the parameter of coupling, ensembles can demonstrate fully synchronous clusters, partial synchrony (only one subpopulation synchronizes), or asynchrony in both subpopulations. Theoretical description of the dynamics based on the Watanabe-Strogatz approach is developed. (C) 2011 Elsevier B.V. All rights reserved.
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