Resonant oscillations in shallow water with small mean-square disturbances

DOI10.1017/S0022112088002186zbMath0644.76011OpenAlexW2058479615MaRDI QIDQ3787627

J. G. B. Byatt-Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088002186

zbMATH Keywords

ordinary differential equationresonanceshallow waterresonant sloshingforced water waveshorizontally oscillated container

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Perturbation of a Hopf bifurcation by an external time-periodic forcing
• The evolution of resonant oscillations in closed tubes
• Bifurcation in the Duffing equation with independent parameters, II
• The bifurcations of duffing's equation: An application of catastrophe theory
• Bifurcation in the Duffing equation with independent parameters. I
• Resonant surface waves