Basins of Attraction for Chimera States

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Basins of Attraction for Chimera States. / Martens, Erik Andreas; Panaggio, Mark; Abrams, Daniel.

In: New Journal of Physics, Vol. 18, 022002, 18.02.2016.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Martens, EA, Panaggio, M & Abrams, D 2016, 'Basins of Attraction for Chimera States', New Journal of Physics, vol. 18, 022002. https://doi.org/10.1088/1367-2630/18/2/022002

APA

Martens, E. A., Panaggio, M., & Abrams, D. (2016). Basins of Attraction for Chimera States. New Journal of Physics, 18, [022002]. https://doi.org/10.1088/1367-2630/18/2/022002

Vancouver

Martens EA, Panaggio M, Abrams D. Basins of Attraction for Chimera States. New Journal of Physics. 2016 Feb 18;18. 022002. https://doi.org/10.1088/1367-2630/18/2/022002

Author

Martens, Erik Andreas ; Panaggio, Mark ; Abrams, Daniel. / Basins of Attraction for Chimera States. In: New Journal of Physics. 2016 ; Vol. 18.

Bibtex

@article{1e56e554d2324b25a3611ed64bbe1e39,
title = "Basins of Attraction for Chimera States",
abstract = "Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications. ",
keywords = "Faculty of Science, coupled oscillators, basins of attraction, chimera states, neural networks",
author = "Martens, {Erik Andreas} and Mark Panaggio and Daniel Abrams",
year = "2016",
month = feb,
day = "18",
doi = "10.1088/1367-2630/18/2/022002",
language = "English",
volume = "18",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing",

}

RIS

TY - JOUR

T1 - Basins of Attraction for Chimera States

AU - Martens, Erik Andreas

AU - Panaggio, Mark

AU - Abrams, Daniel

PY - 2016/2/18

Y1 - 2016/2/18

N2 - Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.

AB - Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.

KW - Faculty of Science

KW - coupled oscillators

KW - basins of attraction

KW - chimera states

KW - neural networks

U2 - 10.1088/1367-2630/18/2/022002

DO - 10.1088/1367-2630/18/2/022002

M3 - Journal article

VL - 18

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 022002

ER -

ID: 132476831