English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate how correlations between the diversity of the connectivity ofnetworks and the dynamics at their nodes affect the macroscopic behavior. Inparticular, we study the synchronization transition of coupled stochastic phaseoscillators that represent the node dynamics. Crucially in our work, thevariability in the number of connections of the nodes is correlated with thewidth of the frequency distribution of the oscillators. By numericalsimulations on Erd\"os-R\'enyi networks, where the frequencies of theoscillators are Gaussian distributed, we make the counterintuitive observationthat an increase in the strength of the correlation is accompanied by anincrease in the critical coupling strength for the onset of synchronization. Wefurther observe that the critical coupling can solely depend on the averagenumber of connections or even completely lose its dependence on the networkconnectivity. Only beyond this state, a weighted mean-field approximationbreaks down. If noise is present, the correlations have to be stronger to yieldsimilar observations.

Networks of noisy oscillators with correlated degree and frequency dispersion