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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths. / Iatsenko, D.; Petkoski, S.; McClintock, P. V. E. et al.
In: Physical review letters, Vol. 110, No. 6, 064101, 05.02.2013.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Iatsenko, D, Petkoski, S, McClintock, PVE & Stefanovska, A 2013, 'Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths', Physical review letters, vol. 110, no. 6, 064101. https://doi.org/10.1103/PhysRevLett.110.064101

APA

Iatsenko, D., Petkoski, S., McClintock, P. V. E., & 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), Article 064101. https://doi.org/10.1103/PhysRevLett.110.064101

Vancouver

Iatsenko D, Petkoski S, McClintock PVE, Stefanovska A. Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths. Physical review letters. 2013 Feb 5;110(6):064101. doi: 10.1103/PhysRevLett.110.064101

Author

Iatsenko, D. ; Petkoski, S. ; McClintock, P. V. E. et al. / Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths. In: Physical review letters. 2013 ; Vol. 110, No. 6.

Bibtex

@article{f0648bde067240e5b87ef531385c6fc9,
title = "Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths",
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",
keywords = "OSCILLATORS",
author = "D. Iatsenko and S. Petkoski and McClintock, {P. V. E.} and A. Stefanovska",
year = "2013",
month = feb,
day = "5",
doi = "10.1103/PhysRevLett.110.064101",
language = "English",
volume = "110",
journal = "Physical review letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths

AU - Iatsenko, D.

AU - Petkoski, S.

AU - McClintock, P. V. E.

AU - Stefanovska, A.

PY - 2013/2/5

Y1 - 2013/2/5

N2 - 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

AB - 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

KW - OSCILLATORS

UR - http://www.scopus.com/inward/record.url?scp=84873435151&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.110.064101

DO - 10.1103/PhysRevLett.110.064101

M3 - Journal article

VL - 110

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 6

M1 - 064101

ER -