Dynamics of multi-frequency oscillator ensembles with resonant coupling

Abstract

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.

12 pages

References in corpus (4)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
• Partially integrable dynamics of hierarchical populations of coupled oscillators
• Resonance Clustering in Globally Coupled Electrochemical Oscillators with External Forcing