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The synchronization transition in correlated oscillator populations

Brede, Markus (2010) The synchronization transition in correlated oscillator populations Physica D: Nonlinear Phenomena, 239, (18), pp. 1759-1765. (doi:10.1016/j.physd.2010.05.010).

Record type: Article


The synchronization transition of correlated ensembles of coupled Kuramoto oscillators on sparse random networks is investigated. Extensive numerical simulations show that correlations between the native frequencies of adjacent oscillators on the network systematically shift the critical point as well as the critical exponents characterizing the transition. Negative correlations imply an onset of synchronization for smaller coupling, whereas positive correlations shift the critical coupling towards larger interaction strengths. For negatively correlated oscillators the transition still exhibits critical behaviour similar to that of the all-to-all coupled Kuramoto system, while positive correlations change the universality class of the transition depending on the correlation strength. Crucially, the paper demonstrates that the synchronization behaviour is not only determined by the coupling architecture, but also strongly influenced by the oscillator placement on the coupling network.

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Published date: 15 September 2010
Keywords: complex networks, synchronization, suramoto model
Organisations: Agents, Interactions & Complexity


Local EPrints ID: 272857
ISSN: 0167-2789
PURE UUID: fa0d5d05-36a3-4ca8-8afa-929fcaa93b77

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Date deposited: 26 Sep 2011 16:19
Last modified: 18 Jul 2017 06:19

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