Volume 83, Number 5, September 2008
|Number of page(s)||6|
|Published online||03 September 2008|
Cluster dynamics of planetary waves
Department of Chemical Physics, The Weizmann Institute of Science - Rehovot 76100, Israel
2 RISC, J. Kepler University - Linz 4040, Austria, EU
3 Theoretical Department, Institute for Magnetism, National Academy of Science - Kiev, Ukraine
Accepted: 21 July 2008
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.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 47.10.Fg – Dynamical systems methods / 47.54.-r – Pattern selection; pattern formation
© EPLA, 2008
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