Externally forced triads of resonantly interacting waves: boundedness and integrability properties

DOI10.1016/j.cnsns.2012.04.002zbMath1416.70013arXiv1201.2867OpenAlexW2020797847MaRDI QIDQ1948235

Miguel D. Bustamante, Jamie Harris, Colm Connaughton

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2867

zbMATH Keywords

Rossby wavesintegrable systemsnonlinear dynamical systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (6)

Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in the 1-D Burgers equation ⋮ Resonant triad interactions of gravity waves in cylindrical basins ⋮ Discrete resonant Rossby/drift wave triads: explicit parameterisations and a fast direct numerical search algorithm ⋮ Resonances for water waves over flows with piecewise constant vorticity ⋮ Rossby and drift wave turbulence and zonal flows: the Charney-Hasegawa-Mima model and its extensions ⋮ Complete classification of discrete resonant Rossby/drift wave triads on periodic domains

Uses Software

• DLMF

Cites Work

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• Quasiperiodic motions in superquadratic time-periodic potentials
• Pulsation and precession of the resonant swinging spring
• Turbulence of capillary waves -- theory and numerical simulation
• Resonant triad model for studying evolution of the energy spectrum among a large number of internal waves
• Modulational instability of Rossby and drift waves and generation of zonal jets
• The Jacobi Last Multiplier and its applications in mechanics
• A new conservation law constructed without using either Lagrangians or Hamiltonians
• Lagrangian structures, integrability and chaos for 3D dynamical equations
• Wave Turbulence
• Forced resonant second-order interaction between damped internal waves

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