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Media type:
E-Article
Title:
α-KURAMOTO PARTITIONS FROM THE FRUSTRATED KURAMOTO MODEL GENERALISE EQUITABLE PARTITIONS
Contributor:
Kirkland, Stephen;
Severini, Simone
imprint:
University of Belgrade, Faculty of Electrical Engineering Academic Mind, 2015
Published in:Applicable Analysis and Discrete Mathematics
Language:
English
ISSN:
1452-8630;
2406-100X
Origination:
Footnote:
Description:
<p>The Kuramoto model describes the collective dynamics of a system of coupled oscillators. An α-Kuramoto partition is a graph partition induced by the Kuramoto model, when the oscillators include a phase frustration parameter. We prove that every equitable partition is an α-Kuramoto partition, but that the converse does necessarily not hold. We give an exact characterisation of α-Kuramoto bipartitions.</p>