2015/02/22 by Maxim Komarov, Komarov, Maxim, Arkady Pikovsky +1
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #nlin.AO #nlin.CD
paper · pdf · doi:10.48550/arxiv.1502.06193
arxiv created 2015/02/22 · openalex publication_date 2015/02/22 · arxiv updated 2015/02/24 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
We generalize the Kuramoto model of globally coupled oscillators to multifrequency communities. A situation when mean frequencies of two subpopulations are close to resonance 2:1 is considered in detail. We derive uniformly rotating solutions describing synchronization inside communities and between them. Remarkably, cross-coupling between the frequency scales 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 what is directly related to a multi-branch entrainment. On the other hand, for synchronous populations, the cross-frequency coupling can destroy a phase-locking and lead to chaos of mean fields.