2017/09/30 by Anastasiya V. Dolmatova, A. V. Dolmatóva, Denis S. Goldobin +1 · 33 citations
Chemistry · Computer Science · Engineering · Physics and Astronomy · #Acoustics #Action (physics) #Chemistry #Classical mechanics #Computer science #Control theory (sociology) #Coupling (piping) #Electrical engineering #Engineering #Entrainment (biomusicology) #Mechanical and Optical Resonators #Noise (video) #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Phase locking #Phase synchronization #Physics #Power (physics) #Quantum mechanics #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #Transformation (genetics) #cond-mat.stat-mech #nlin.AO #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.96.062204
published in Physical review. E 96(6), 062204 (American Physical Society) · 11 pages, 8 figures
arxiv created 2017/11/27 · openalex publication_date 2017/12/11 · arxiv updated 2017/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law.