Faraday wave–droplet dynamics: discrete-time analysis

DOI10.1017/JFM.2017.235zbMath1383.76105OpenAlexW2617180379MaRDI QIDQ5364768

Matthew Durey, Paul A. Milewski

Publication date: 28 September 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2017.235

zbMATH Keywords

bifurcationsFaraday wavesdrops

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Viscous vortex flows (76D17) Waves for incompressible viscous fluids (76D33)

Related Items (12)

Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers ⋮ Pilot-wave dynamics in a rotating frame: the onset of orbital instability ⋮ Free rings of bouncing droplets: stability and dynamics ⋮ Bouncing phase variations in pilot-wave hydrodynamics and the stability of droplet pairs ⋮ State space geometry of the chaotic pilot-wave hydrodynamics ⋮ Emergence of superwalking droplets ⋮ Bifurcations and chaos in a Lorenz-like pilot-wave system ⋮ Speed oscillations in classical pilot-wave dynamics ⋮ Collective vibrations of a hydrodynamic active lattice ⋮ Non-wetting impact of a sphere onto a bath and its application to bouncing droplets ⋮ Faraday pilot-wave dynamics in a circular corral ⋮ Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers

Uses Software

• AS 136

Cites Work

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• Exotic states of bouncing and walking droplets
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• Pilot-wave hydrodynamics in a rotating frame: Exotic orbits
• On Spiking Models for Synaptic Activity and Impulsive Differential Equations
• Linear theory of Faraday instability in viscous liquids
• Parametric instability of the interface between two fluids
• Drops bouncing on a vibrating bath
• Drops walking on a vibrating bath: towards a hydrodynamic pilot-wave theory
• Metastable bouncing droplets
• Particle–wave association on a fluid interface
• The stability of the plane free surface of a liquid in vertical periodic motion

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