Nonlinear Faraday resonance
From MaRDI portal
Publication:3694867
DOI10.1017/S0022112084001865zbMath0575.76047OpenAlexW2156902038MaRDI QIDQ3694867
Publication date: 1984
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112084001865
Hamiltonian systeminternal resonanceFaraday resonancecapillary effectsvertical oscillationLagrangian and averaged Lagrangian formulationsliquid in a cylindersurface- wave spectrum
Nonlinear effects in hydrodynamic stability (76E30) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Forced oscillations of a liquid between two cylinders excited by vibrations of an inner shell ⋮ Chaotic oscillations of a spherical pendulum as an example of interaction with an energy source ⋮ Thermocapillary stabilization of the capillary breakup of an annular film of liquid ⋮ Interfacial destabilization and atomization driven by surface acoustic waves ⋮ Nonpropagating soliton and kink soliton in a mildly sloping channel ⋮ Resonantly excited regular and chaotic motions in a rectangular wave tank ⋮ Faraday resonance in rectangular geometry ⋮ Standing radial cross-waves ⋮ Surface waves in closed basins under principal and autoparametric resonances ⋮ Subharmonic parametric instability in nearly brimful circular cylinders: a weakly nonlinear analysis ⋮ A spectral method for Faraday waves in rectangular tanks ⋮ Lagrangian motion of fluid particles induced by three-dimensional standing surface waves ⋮ New types of limit sets in the dynamic system ``spherical pendulum -- electric motor ⋮ Generalization of the concept of attractor for pendulum systems with finite excitations ⋮ Resonant triad interactions of gravity waves in cylindrical basins ⋮ Resonant surface waves and chaotic phenomena ⋮ Quasipatterns in a parametrically forced horizontal fluid film ⋮ TRANSVERSE RESONANT OSCILLATIONS IN ACOUSTIC DUCTS ⋮ Parametrically excited, standing cross-waves ⋮ Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation ⋮ Resonant triad dynamics in weakly damped Faraday waves with two-frequency forcing ⋮ Wave pattern formation in a fluid annulus with a radially vibrating inner cylinder ⋮ Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries ⋮ Instabilities caused by oscillating accelerations normal to a viscous fluid-fluid interface ⋮ Symmetry-breaking bifurcations in resonant surface waves ⋮ Normal forms for driven surface waves: Boundary conditions, symmetry, and genericity ⋮ Chaos of liquid surface waves in a vessel under vertical excitation with slowly modulated amplitude ⋮ A note on random excitation of nonlinear Faraday waves ⋮ The Faraday resonance of interfacial waves in weakly viscous fluids ⋮ Finite amplitude Faraday waves induced by a random forcing ⋮ The Faraday threshold in small cylinders and the sidewall non-ideality ⋮ Nonlinear dynamics of two-mode interactions in parametric excitation of surface waves ⋮ Chaos in Miles' equations ⋮ Weakly nonlinear theory for a gate-type curved array in waves ⋮ Dynamics of a sessile drop in forced vibration ⋮ Faraday waves in 2:1 internal resonance ⋮ On localized solutions in nonlinear Faraday resonance ⋮ Global bifurcation and chaos in parametrically forced systems with one-one resonance ⋮ Weakly nonlinear resonant waves generated by an oscillatory pressure distribution in a channel ⋮ Sideband instability and modulations of Faraday waves. ⋮ On the existence of chaos in a class of two-degree-of-freedom, damped, strongly parametrically forced mechanical systems with broken \(O(2)\) symmetry ⋮ Existence theory for damped gravity waves in a closed rectangular basin ⋮ Weakly nonlinear theory for oscillating wave surge converters in a channel ⋮ On limit cycles arising form the parametric excitation of standing waves ⋮ Second-harmonic resonance with Faraday excitation ⋮ Periodic solutions for a complex Hamiltonian system: New standing water-waves ⋮ Subharmonic resonant interaction of a gravity–capillary progressive axially symmetric wave with a radial cross-wave ⋮ Nonlinear Faraday resonance in a box with a square base ⋮ Particle transport by angular momentum on three-dimensional standing surface waves ⋮ Parametric excitation of an internally resonant double pendulum ⋮ Wave breaking and jet formation on axisymmetric surface gravity waves ⋮ Waves in a liquid between two coaxial cylindrical shells induced by vibrations of the inner cylinder ⋮ Modal Interaction in the Response of Antisymmetric Cross-Ply Laminated Rectangular Plates
Cites Work
