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Kuramoto model with time-varying parameters

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Kuramoto model with time-varying parameters. / Petkoski, Spase; Stefanovska, Aneta.
In: Physical Review E, Vol. 86, No. 4, 046212, 23.10.2012.

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

Harvard

Petkoski, S & Stefanovska, A 2012, 'Kuramoto model with time-varying parameters', Physical Review E, vol. 86, no. 4, 046212. https://doi.org/10.1103/PhysRevE.86.046212

APA

Petkoski, S., & Stefanovska, A. (2012). Kuramoto model with time-varying parameters. Physical Review E, 86(4), Article 046212. https://doi.org/10.1103/PhysRevE.86.046212

Vancouver

Petkoski S, Stefanovska A. Kuramoto model with time-varying parameters. Physical Review E. 2012 Oct 23;86(4):046212. doi: 10.1103/PhysRevE.86.046212

Author

Petkoski, Spase ; Stefanovska, Aneta. / Kuramoto model with time-varying parameters. In: Physical Review E. 2012 ; Vol. 86, No. 4.

Bibtex

@article{d7dfa7591ef94bcba8b25e3d53faad03,
title = "Kuramoto model with time-varying parameters",
abstract = "We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.",
author = "Spase Petkoski and Aneta Stefanovska",
note = "{\textcopyright}2012 American Physical Society",
year = "2012",
month = oct,
day = "23",
doi = "10.1103/PhysRevE.86.046212",
language = "English",
volume = "86",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Kuramoto model with time-varying parameters

AU - Petkoski, Spase

AU - Stefanovska, Aneta

N1 - ©2012 American Physical Society

PY - 2012/10/23

Y1 - 2012/10/23

N2 - We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.

AB - We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.

U2 - 10.1103/PhysRevE.86.046212

DO - 10.1103/PhysRevE.86.046212

M3 - Journal article

VL - 86

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 4

M1 - 046212

ER -