Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths

Iatsenko, D. and Petkoski, S. and McClintock, P. V. E. and Stefanovska, A. (2013) Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths. Physical review letters, 110 (6). ISSN 1079-7114

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Abstract

We consider the Kuramoto model of an ensemble of interacting oscillators allowing for an arbitrary distribution of frequencies and coupling strengths. We define a family of traveling wave states as stationary in a rotating frame, and derive general equations for their parameters. We suggest empirical stability conditions which, for the case of incoherence, become exact. In addition to making new theoretical predictions, we show that many earlier results follow naturally from our general framework. The results are applicable in scientific contexts ranging from physics to biology. DOI: 10.1103/PhysRevLett.110.064101

Item Type:
Journal Article
Journal or Publication Title:
Physical review letters
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100
Subjects:
ID Code:
63081
Deposited By:
Deposited On:
22 Mar 2013 09:01
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Sep 2020 01:32