Surface waves in closed basins under principal and autoparametric resonances

DOI10.1063/1.857571zbMath0708.76037OpenAlexW2043868499MaRDI QIDQ3491198

J. Nayfeh, Ali Hasan Nayfeh

Publication date: 1990

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857571

zbMATH Keywords

method of multiple scalescylindrical containermodulation equationsnonlinear responsesubcritical Hopf bifurcationsautonomous first-order ordinary-differential equationscyclic-fold bifurcationsLimit-cycle solutions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical field theories (70Sxx)

Related Items (6)

Interpolation perturbation method for solving the boundary layer type problems ⋮ Interpolation perturbation method for solving nonlinear problems ⋮ Bifurcation in a parametrically excited two-degree-of-freedom nonlinear oscillating system with 1:2 internal resonance ⋮ Nonlinear dynamics and chaos of magnetized resonant surface waves in a rectangular container ⋮ Ionization of 1-D model atom in an intense laser field based on asymptotic boundary conditions and symplectic algorithm ⋮ Improved L-P method for solving strongly nonlinear problems

Cites Work

• The Lyapunov dimension of strange attractors
• Determining Lyapunov exponents from a time series
• Parametric excitation of an internally resonant double pendulum. II
• Parametric excitation of two internally resonant oscillators
• Nonlinear Faraday resonance
• Surface waves in closed basins under parametric and internal resonances
• Resonant surface waves and chaotic phenomena
• Symmetry-breaking bifurcations in resonant surface waves
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

This page was built for publication: Surface waves in closed basins under principal and autoparametric resonances