2012/07/31 by Per Sebastian Skardal, Dane Taylor, Juan G. Restrepo · 3 citations
Physics and Astronomy · Mathematics · #nlin.AO #math.DS #nlin.CD #nlin.PS
paper · pdf · doi:10.1016/j.physd.2013.01.012
arxiv created 2012/12/21 · arxiv updated 2015/03/20
Using recent dimensionality reduction techniques in large systems of coupled phase oscillators exhibiting bistability, we analyze complex macroscopic behavior arising when the coupling between oscillators is allowed to evolve slowly as a function of either macroscopic or local system properties. For example, we observe macroscopic excitability and intermittent synchrony in a system of time-delayed Kuramoto oscillators with Hebbian and anti-Hebbian learning. We demonstrate the robustness of our findings by considering systems with increasing complexity, including time-delayed oscillators with adaptive network structure and community interaction, as well as a system with bimodally distributed frequencies.