Basins of attraction for chimera states

Fast track communication

Erik Andreas Martens, Mark J. Panaggio, Daniel M. Abrams

Research output: Contribution to journalJournal articleResearchpeer-review

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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.
Original languageEnglish
Article number022002
JournalNew Journal of Physics
Volume18
Issue number2
Number of pages23
ISSN1367-2630
DOIs
Publication statusPublished - 2016
Externally publishedYes

Keywords

  • Chimera states
  • Basins of attraction
  • Hierarchical networks
  • Neural networks

Cite this

Martens, Erik Andreas ; Panaggio, Mark J. ; Abrams, Daniel M. / Basins of attraction for chimera states : Fast track communication. In: New Journal of Physics. 2016 ; Vol. 18, No. 2.
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Basins of attraction for chimera states : Fast track communication. / Martens, Erik Andreas; Panaggio, Mark J.; Abrams, Daniel M.

In: New Journal of Physics, Vol. 18, No. 2, 022002, 2016.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Basins of attraction for chimera states

T2 - Fast track communication

AU - Martens, Erik Andreas

AU - Panaggio, Mark J.

AU - Abrams, Daniel M.

PY - 2016

Y1 - 2016

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 - Chimera states

KW - Basins of attraction

KW - Hierarchical networks

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

IS - 2

M1 - 022002

ER -