Spanwise modal competition in cross-waves

DOI10.1016/0167-2789(90)90018-KzbMath0698.76018WikidataQ58934318 ScholiaQ58934318MaRDI QIDQ912705

Seth Lichter, Hassan Ayanle, Andrew J. Bernoff

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationenergy dissipationHamiltonian systemnonlinear Schrödinger equationsasymptotic theory for cross-wavescoupled Landau equationsmixed-mode superposition of two spanwise modesoscillating wavemakersemi-infinite rectangular wave tank

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

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A review of fluid instabilities and control strategies with applications in microgravity

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities of vector fields
• The generation of cross-waves in a long deep channel by parametric resonance
• Note on a parametrically excited, trapped cross-wave
• Viscous cross-waves: An analytical treatment
• On cross-waves
• Cross-waves. Part 1. Theory

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