ALPHA-KURAMOTO PARTITIONS FROM THE FRUSTRATED KURAMOTO MODEL GENERALISE EQUITABLE PARTITIONS

Applicable Analysis and Discrete Mathematics

article

Stephen Kirkland¹  Simone Severini³ 

[1] Hamilton Institute, National University of Ireland Maynooth;Department of Mathematics, University of Manitoba;Department of Computer Science and Department of Physics & Astronomy, University College London

关键词: Kuramoto model;    phase synchronisation;    graph partitions;    systems of differential equations;   

DOI  :  10.2298/AADM141124018K

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

The Kuramoto model describes the collective dynamics of a system of coupledoscillators. An α-Kuramoto partition is a graph partition induced by theKuramoto model, when the oscillators include a phase frustration parameter.We prove that every equitable partition is an α-Kuramoto partition, but thatthe converse does necessarily not hold. We give an exact characterisation ofα-Kuramoto bipartitions.

【 授权许可】

Unknown