Dynamics of multi-frequency oscillator ensembles with resonant coupling

Details Dynamics of multi-frequency oscillator ensembles with resonant coupling Dynamics of multi-frequency oscillator ensembles with resonant coupling

2011-03-31

arxiv.org/abs/1103.6194v1

Physics Letters A 375 (2011) 2714-2719

Nonlinear Sciences

Adaptation and Self-Organizing Systems

12 pages

Scientific paper

10.1016/j.physleta.2011.06.016

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.

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