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Homogeneous delays in the Kuramoto model with time-variable parameters

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Homogeneous delays in the Kuramoto model with time-variable parameters. / Barabash, Miraslau; Petkoski, Spase; Stefanovska, Aneta.

In: Physical Review E, Vol. 90, No. 5, 052903, 03.11.2014.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Barabash M, Petkoski S, Stefanovska A. Homogeneous delays in the Kuramoto model with time-variable parameters. Physical Review E. 2014 Nov 3;90(5):052903. doi: 10.1103/PhysRevE.90.052903

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Bibtex

@article{21212e5da8514908afe20ec6e4804cde,
title = "Homogeneous delays in the Kuramoto model with time-variable parameters",
abstract = "The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble{\textquoteright}s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.",
keywords = "Kuramoto model, synchronization, delays, forcing, nonautonomous systems",
author = "Miraslau Barabash and Spase Petkoski and Aneta Stefanovska",
year = "2014",
month = nov,
day = "3",
doi = "10.1103/PhysRevE.90.052903",
language = "English",
volume = "90",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Homogeneous delays in the Kuramoto model with time-variable parameters

AU - Barabash, Miraslau

AU - Petkoski, Spase

AU - Stefanovska, Aneta

PY - 2014/11/3

Y1 - 2014/11/3

N2 - The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble’s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.

AB - The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the original system, the external forcing, and the delays. This complex low-dimensional dynamics is described, uncovering an echo effect near the synchronization threshold. Hence, the delayed couplings substantially alter the dynamics of what is an open system and should be taken into consideration, depending on the ensemble’s evolution time scale. We also introduce a first-harmonic approximation for the evolution of the mean field under harmonic forcing, valid for any delays and forcing of a coherent population.

KW - Kuramoto model

KW - synchronization

KW - delays

KW - forcing

KW - nonautonomous systems

U2 - 10.1103/PhysRevE.90.052903

DO - 10.1103/PhysRevE.90.052903

M3 - Journal article

VL - 90

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

M1 - 052903

ER -