Cluster Dynamics of Planetary Waves
arXiv:0801.3374 · doi:10.1209/0295-5075/83/50012
Abstract
The dynamics of nonlinear atmospheric planetary waves is determined by a small number of independent wave clusters consisting of a few connected resonant triads. We classified the different types of connections between neighboring triads that determine the general dynamics of a cluster. Each connection type corresponds to substantially different scenarios of energy flux among the modes. The general approach can be applied directly to various mesoscopic systems with 3-mode interactions, encountered in hydrodynamics, astronomy, plasma physics, chemistry, medicine, etc.
6 pages, 3 figs, EPL, published
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Cited by in corpus (8)
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- Effect of the dynamical phases on the nonlinear amplitudes' evolution
- Dynamics of nonlinear resonances in Hamiltonian systems
- Finite-Dimensional Turbulence of Planetary Waves
- Time scales and structures of wave interaction
- Rotating Shallow Water Dynamics: Extra Invariant and the Formation of Zonal Jets
- A constructive method for computing generalized Manley--Rowe constants of motion