Minimal chimera states in phase-lag coupled mechanical oscillators

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 to...

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Veröffentlicht in:The European physical journal. ST, Special topics Special topics, 2020-09, Vol.229 (12-13), p.2205-2214
Hauptverfasser: Ebrahimzadeh, P., Schiek, M., Jaros, P., Kapitaniak, T., van Waasen, S., Maistrenko, Y.
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Sprache:eng
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Zusammenfassung: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.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2020-900270-4