WIAS Preprint No. 2194, (2015)

A tweezer for chimeras in small networks



Authors

  • Omelchenko, Iryna
  • Omel'chenko, Oleh
    ORCID: 0000-0003-0526-1878
  • Zakharova, Anna
  • Wolfrum, Matthias
  • Schöll, Eckehard

2010 Mathematics Subject Classification

  • 34H10 34C15

2008 Physics and Astronomy Classification Scheme

  • 05.45.Xt, 05.45.Ra, 89.75.-k

Keywords

  • nonlinear systems, dynamical networks, coherence, spatial chaos

Abstract

We propose a control scheme which can stabilize and fix the position of chimera states in small networks. Chimeras consist of coexisting domains of spatially coherent and incoherent dynamics in systems of nonlocally coupled identical oscillators. Chimera states are generically difficult to observe in small networks due to their short lifetime and erratic drifting of the spatial position of the incoherent domain. The control scheme, like a tweezer, might be useful in experiments, where usually only small networks can be realized.

Appeared in

  • Phys. Rev. Lett., 116 (2016) pp. 114101/1--114101/5.

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