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Minimal chimera states in phase-lag coupled mechanical oscillators

Authors
  • Ebrahimzadeh, P.1
  • Schiek, M.1
  • Jaros, P.2
  • Kapitaniak, T.2
  • van Waasen, S.1, 3
  • Maistrenko, Y.1, 2, 4
  • 1 Forschungszentrum Jülich GmbH, ZEA-2: Electronics Systems, Jülich, 52428, Germany , Jülich (Germany)
  • 2 Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, Lodz, 90-924, Poland , Lodz (Poland)
  • 3 University Duisburg-Essen, Duisburg, Germany , Duisburg (Germany)
  • 4 Institute of Mathematics and Center for Medical and Biotechnical Research, National Academy of Science of Ukraine, Tereshchenkivska St. 3, Kyiv, 01030, Ukraine , Kyiv (Ukraine)
Type
Published Article
Journal
The European Physical Journal Special Topics
Publisher
Springer Berlin Heidelberg
Publication Date
Sep 28, 2020
Volume
229
Issue
12-13
Pages
2205–2214
Identifiers
DOI: 10.1140/epjst/e2020-900270-4
Source
Springer Nature
License
Green

Abstract

We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we have developed a real-time model-in-the-loop coupling mechanism that allows for flexible and online change of coupling topology, strength and phase-lag. The chimera states manifest themselves as a mismatch of average frequency between two synchronous and one desynchronized oscillator. We find this kind of striking “chimeric” behavior is robust in a wide parameter region. At other parameters, however, chimera state can lose stability and the system behavior manifests itself as a heteroclinic switching between three saddle-type chimeras. Our experimental observations are in a qualitative agreement with the model simulation.

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