Explosive behaviour in networks of Winfree oscillators

Shawn Means and Carlo R. Laing

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: We consider directed networks of Winfree oscillators with power law distributed in- and out-degree distributions. Gaussian and power law distributed intrinsic frequencies are considered, and these frequencies are positively correlated with oscillators' in-degrees. The Ott/Antonsen ansatz is used to derive degree-based mean field equations for the expected dynamics of networks, and these are numerically analysed. In a variety of cases “explosive” transitions between either two different steady states or between a steady state and a periodic solution are found, and these transitions are explained using bifurcation theory.

Keywords: Winfree oscillators; Explosive synchrony; Complex networks (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004647

DOI: 10.1016/j.chaos.2022.112254

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