Basins of attraction for chimera states

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

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

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 (US)
Article number022002
JournalNew Journal of Physics
Volume18
Issue number2
DOIs
StatePublished - Feb 18 2016

Keywords

  • basins of attraction
  • chimera states
  • hierarchical networks
  • neural networks

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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