direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Es gibt keine deutsche Übersetzung dieser Webseite.

Search in All Publications

Suche nach Publikationen




All Publications by GRK Members

Networks of noisy oscillators with correlated degree and frequency dispersion
Zitatschlüssel Sonnenschein2013
Autor Sonnenschein, B., Sagués, F., and Schimansky-Geier, L.
Seiten 12
Jahr 2013
Journal European Physical Journal B
Nummer 86
Zusammenfassung 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.
Link zur Originalpublikation Download Bibtex Eintrag

Nach oben

Import Publication

Upload BibTeX

Alle Einträge nach BibTex exportieren

Zusatzinformationen / Extras

Direktzugang:

Schnellnavigation zur Seite über Nummerneingabe