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arXiv · 2005.09542

Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators

Pezhman Ebrahimzadeh·Michael Schiek·Patrycja Jaros·Tomasz Kapitaniak·Stefan van Waasen·Yuri Maistrenko
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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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Pezhman Ebrahimzadeh, Michael Schiek, Patrycja Jaros, Tomasz Kapitaniak, Stefan van Waasen, Yuri Maistrenko. 2020-05-19. Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators. https://doi.org/10.1140/epjst%2Fe2020-900270-4

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