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Published version

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2013-01-16

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cc by (c) Springer Verlag, 2013
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/57954

Networks of noisy oscillators with correlated degree and frequency dispersion

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http://dx.doi.org/10.1140/epjb/e2012-31026-x

Abstract

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.

Subject

Sistemes no lineals, Matèria condensada, Física estadística, Física de l'estat sòlid

Subject (English)

Nonlinear systems, Condensed matter, Statistical physics, Solid state physics

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Articles publicats en revistes (Ciència dels Materials i Química Física)

Citation

SONNENSCHEIN, Bernard, SAGUÉS I MESTRE, Francesc and SCHIMANSKY-GEIER, Lutz. Networks of noisy oscillators with correlated degree and frequency dispersion. European Physical Journal B. 2013. Vol. 86, num. 12, pags. 1-6. ISSN 1434-6028. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/57954

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