2016/07/21 by Anastasiya V. Pimenova, Denis S. Goldobin, Michael G. Rosenblum +2 · 44 citations
Computer Science · Mathematics · Physics and Astronomy · #Ansatz #Asynchronous communication #Computer science #Coupling (piping) #Focus (optics) #Forcing (mathematics) #Mathematics #Mechanical and Optical Resonators #Noise (video) #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Quantum optics and atomic interactions #Statistical physics #Synchronization (alternating current) #Synchronization networks #Telecommunications #Topology (electrical circuits) #nlin.AO
paper · pdf · doi:10.1038/srep38518
published in Scientific Reports 6(1), 38518 (Nature Portfolio) · 5 p
arxiv created 2016/07/21 · openalex publication_date 2016/12/06 · arxiv updated 2017/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators, we obtain analytically tractable equations for the case where both coupling and common noise are present. While noise always tends to synchronize the phase oscillators, the repulsive coupling can act against synchrony, and we focus on this nontrivial situation. For identical oscillators, the fully synchronous state remains stable for small repulsive coupling; moreover it is an absorbing state which always wins over the asynchronous regime. For oscillators with a distribution of natural frequencies, we report on a counter-intuitive effect of dispersion (instead of usual convergence) of the oscillators frequencies at synchrony; the latter effect disappears if noise vanishes.