Hysteresis in Faraday resonance

DOI10.1017/S0022112095001704zbMath0866.76014OpenAlexW2164727184MaRDI QIDQ4873020

S. P. Decent, Alex D. D. Craik

Publication date: 20 July 1997

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

Full work available at URL: https://doi.org/10.1017/s0022112095001704

zbMATH Keywords

evolution equationLagrangian methodMathieu's equationFaraday wavesgeneralized Lagrangianexistence of limit cyclesstability of stationary pointsgravity-capillary surface wavesfifth-order conservative frequency shiftlower hysteresis boundarythird-order dissipating termvertically oscillating container

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

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Cites Work

• Faraday excitation, hysteresis and wave instability in a narrow rectangular wave tank
• The stability of the plane free surface of a liquid in vertical periodic motion