Basins of attraction for chimera states: Fast track communication

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

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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

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