Resonant surface waves and chaotic phenomena
From MaRDI portal
Publication:3780595
DOI10.1017/S0022112087002751zbMath0639.76015MaRDI QIDQ3780595
Publication date: 1987
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
chaotic behaviourenergy dissipationSurface wavesrectangular containerSufficient conditionsvertical oscillationscomplete bifurcation analysis
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32) Basic methods in fluid mechanics (76M99)
Related Items
Two-to-one internal resonances in nonlinear two degree of freedom system with parametric and external excitations. ⋮ Fluid skimming and particle entrainment into a small circular side pore ⋮ Faraday resonance in two-dimensional standing gravity waves of finite depth ⋮ Resonantly excited regular and chaotic motions in a rectangular wave tank ⋮ Sloshing motions in excited tanks ⋮ Standing radial cross-waves ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities ⋮ Surface waves in closed basins under principal and autoparametric resonances ⋮ Subharmonic parametric instability in nearly brimful circular cylinders: a weakly nonlinear analysis ⋮ Bursts in oscillatory systems with broken \(D_4\) symmetry ⋮ Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries ⋮ Symmetry-breaking bifurcations in resonant surface waves ⋮ Nonlinear dynamics of two-mode interactions in parametric excitation of surface waves ⋮ Weakly nonlinear theory for a gate-type curved array in waves ⋮ Faraday waves in 2:1 internal resonance ⋮ Weakly nonlinear theory for oscillating wave surge converters in a channel ⋮ On limit cycles arising form the parametric excitation of standing waves ⋮ Periodic solutions for a complex Hamiltonian system: New standing water-waves ⋮ Singular perturbation theory for homoclinic orbits in a class of near- integrable Hamiltonian systems
Cites Work
- On global motions of articulated tubes carrying a fluid
- Period doubling cascades of attractors: A prerequisite for horseshoes
- Local and global behavior near homoclinic orbits
- Preturbulence: A regime observed in a fluid flow model of Lorenz
- Quantitative universality for a class of nonlinear transformations
- Nonlinear Faraday resonance
- Internally resonant surface waves in a circular cylinder
- Resonantly forced surface waves in a circular cylinder
- Hopf Bifurcation Phenomena in Tubes Carrying a Fluid
- Nonlinear surface waves in closed basins
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
