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Mean-field and mean-ensemble frequencies of a system of coupled oscillators

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Mean-field and mean-ensemble frequencies of a system of coupled oscillators. / Petkoski, Spase; Iatsenko, Dima; Basnarkov, Lasko et al.
In: Physical Review E, Vol. 87, No. 3, 032908 , 18.03.2013.

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

Harvard

Petkoski, S, Iatsenko, D, Basnarkov, L & Stefanovska, A 2013, 'Mean-field and mean-ensemble frequencies of a system of coupled oscillators', Physical Review E, vol. 87, no. 3, 032908 . https://doi.org/10.1103/PhysRevE.87.032908

APA

Petkoski, S., Iatsenko, D., Basnarkov, L., & Stefanovska, A. (2013). Mean-field and mean-ensemble frequencies of a system of coupled oscillators. Physical Review E, 87(3), Article 032908 . https://doi.org/10.1103/PhysRevE.87.032908

Vancouver

Petkoski S, Iatsenko D, Basnarkov L, Stefanovska A. Mean-field and mean-ensemble frequencies of a system of coupled oscillators. Physical Review E. 2013 Mar 18;87(3):032908 . doi: 10.1103/PhysRevE.87.032908

Author

Petkoski, Spase ; Iatsenko, Dima ; Basnarkov, Lasko et al. / Mean-field and mean-ensemble frequencies of a system of coupled oscillators. In: Physical Review E. 2013 ; Vol. 87, No. 3.

Bibtex

@article{8a6125f6f9a54532bd5a1e097e247cea,
title = "Mean-field and mean-ensemble frequencies of a system of coupled oscillators",
abstract = "We investigate interacting phase oscillators whose mean field is at a different frequency from the mean or mode of their natural frequencies. The associated asymmetries lead to a macroscopic traveling wave. We show that the mean-ensemble frequency of such systems differs from their entrainment frequency. In some scenarios these frequencies take values that, counterintuitively, lie beyond the limits of the natural frequencies. The results indicate that a clear distinction should be drawn between the two variables describing the macroscopic dynamics of cooperative systems. This has important implications for real systems where a nontrivial distribution of parameters is common.",
keywords = "Coupled oscillators, KURAMOTO MODEL, mean-ensemble frequencies, mean-field frequencies, phase oscillators, traveling wave, cooperative systems, coupling function",
author = "Spase Petkoski and Dima Iatsenko and Lasko Basnarkov and Aneta Stefanovska",
note = "{\textcopyright}2013 American Physical Society",
year = "2013",
month = mar,
day = "18",
doi = "10.1103/PhysRevE.87.032908",
language = "English",
volume = "87",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Mean-field and mean-ensemble frequencies of a system of coupled oscillators

AU - Petkoski, Spase

AU - Iatsenko, Dima

AU - Basnarkov, Lasko

AU - Stefanovska, Aneta

N1 - ©2013 American Physical Society

PY - 2013/3/18

Y1 - 2013/3/18

N2 - We investigate interacting phase oscillators whose mean field is at a different frequency from the mean or mode of their natural frequencies. The associated asymmetries lead to a macroscopic traveling wave. We show that the mean-ensemble frequency of such systems differs from their entrainment frequency. In some scenarios these frequencies take values that, counterintuitively, lie beyond the limits of the natural frequencies. The results indicate that a clear distinction should be drawn between the two variables describing the macroscopic dynamics of cooperative systems. This has important implications for real systems where a nontrivial distribution of parameters is common.

AB - We investigate interacting phase oscillators whose mean field is at a different frequency from the mean or mode of their natural frequencies. The associated asymmetries lead to a macroscopic traveling wave. We show that the mean-ensemble frequency of such systems differs from their entrainment frequency. In some scenarios these frequencies take values that, counterintuitively, lie beyond the limits of the natural frequencies. The results indicate that a clear distinction should be drawn between the two variables describing the macroscopic dynamics of cooperative systems. This has important implications for real systems where a nontrivial distribution of parameters is common.

KW - Coupled oscillators

KW - KURAMOTO MODEL

KW - mean-ensemble frequencies

KW - mean-field frequencies

KW - phase oscillators

KW - traveling wave

KW - cooperative systems

KW - coupling function

U2 - 10.1103/PhysRevE.87.032908

DO - 10.1103/PhysRevE.87.032908

M3 - Journal article

VL - 87

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 3

M1 - 032908

ER -