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Article

Kuramoto-Like Synchronization Mediated through Faraday Surface Waves

Instituto de Matemática Pura e Aplicada (IMPA), Est. Dona Castorina, 110, J.Botânico, Rio de Janeiro RJ CEP 22460-320, Brazil
Fluids 2020, 5(4), 226; https://doi.org/10.3390/fluids5040226
Received: 13 October 2020 / Revised: 24 November 2020 / Accepted: 26 November 2020 / Published: 29 November 2020
(This article belongs to the Special Issue Recent Advances in Free Surface Hydrodynamics)
A new class of problems in free surface hydrodynamics appeared after the groundbreaking discovery by Yves Couder and Emmanuel Fort. A bouncing droplet in association with Faraday surface waves gives rise to new nonlinear dynamics, in analogy with the pilot-wave proposed by de Broglie. The droplet and the underlying vibrating bath are of silicon oil. A weakly viscous potential theory model should be used. Numerical simulations are presented with one and two bouncing droplets oscillating while confined to their cavities. These oscillators are implicitly coupled by the underlying surface wave field. In certain regimes, the oscillators can spontaneously synchronize, even when placed at a distance. Cavity parameters are varied in order to highlight the sensitive wave-mediated coupling. The present nonlinear wave-mediated oscillator synchronization is more general than that displayed by the celebrated Kuramoto model and therefore of general interest. View Full-Text
Keywords: Faraday waves; bouncing droplets; spontaneous synchronization Faraday waves; bouncing droplets; spontaneous synchronization
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MDPI and ACS Style

Nachbin, A. Kuramoto-Like Synchronization Mediated through Faraday Surface Waves. Fluids 2020, 5, 226. https://doi.org/10.3390/fluids5040226

AMA Style

Nachbin A. Kuramoto-Like Synchronization Mediated through Faraday Surface Waves. Fluids. 2020; 5(4):226. https://doi.org/10.3390/fluids5040226

Chicago/Turabian Style

Nachbin, André. 2020. "Kuramoto-Like Synchronization Mediated through Faraday Surface Waves" Fluids 5, no. 4: 226. https://doi.org/10.3390/fluids5040226

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