Is there an impact of small phase lags in the Kuramoto model?

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Date
2016
Volume
2234
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We discuss the influence of small phase lags on the synchronization transitions in the Kuramoto model for a large inhomogeneous population of globally coupled phase oscillators. Without a phase lag, all unimodal distributions of the natural frequencies give rise to a classical synchronization scenario, where above the onset of synchrony at the Kuramoto threshold there is an increasing synchrony for increasing coupling strength. We show that already for arbitrarily small phase lags there are certain unimodal distributions of natural frequencies such that for increasing coupling strength synchrony may decrease and even complete incoherence may regain stability. Moreover, our example allows a qualitative understanding of the mechanism for such non-universal synchronization transitions

Description
Keywords
Coupled oscillators, synchronization transition, Kuramoto model
Citation
Omelchenko, O., & Wolfrum, M. (2016). Is there an impact of small phase lags in the Kuramoto model? (Vol. 2234). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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