Related Experiment Video
Updated: Apr 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Intercommunity resonances in multifrequency ensembles of coupled oscillators
Maxim Komarov1,2,3, Arkady Pikovsky1,3
1Department of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str 24, D-14476, Potsdam, Germany.
Abstract:
We generalize the Kuramoto model of globally coupled oscillators to multifrequency communities. A situation when mean frequencies of two subpopulations are close to the resonance 2:1 is considered in detail. We construct uniformly rotating solutions describing synchronization inside communities and between them. Remarkably, cross coupling across the frequencies can promote synchrony even when ensembles are separately asynchronous. We also show that the transition to synchrony due to the cross coupling is accompanied by a huge multiplicity of distinct synchronous solutions, which is directly related to a multibranch entrainment. On the other hand, for synchronous populations, the cross-frequency coupling can destroy phase locking and lead to chaos of mean fields.
Related Concept Videos
Concept of Resonance and its Characteristics
Sound Waves: Resonance
Parallel Resonance
Oscillations In An LC Circuit
Double Resonance Techniques: Overview
Spin decoupling is usually achieved by...
Forced Oscillations

