Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling
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Publication:5244560
DOI10.1088/1751-8113/48/10/105101zbMATH Open1329.60232arXiv1411.3204OpenAlexW3104203792MaRDI QIDQ5244560
Author name not available (Why is that?)
Publication date: 27 March 2015
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Abstract: We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder - diversity of intrinsic oscillatory frequencies and external independent noise. Based on the self-consistent formulation, we derive analytic solutions for different synchronous states. We report on various non-trivial transitions from incoherence to synchrony where possible scenarios include: simple supercritical transition (similar to classical Kuramoto model), subcritical transition with large area of bistability of incoherent and synchronous solutions, and also appearance of symmetric two-cluster solution which can coexist with regular synchronous state. Remarkably, we show that the interplay between relatively small white noise and finite-size fluctuations can lead to metastable asynchronous solution.
Full work available at URL: https://arxiv.org/abs/1411.3204
Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Fokker-Planck equations (35Q84)
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