Cluster dynamics of planetary wavesE. Kartashova1, 2 and V. S. L'vov1, 3
1 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
received 29 April 2008; accepted in final form 21 July 2008; published September 2008
published online 3 September 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.
05.45.-a - Nonlinear dynamics and chaos.
47.10.Fg - Dynamical systems methods.
47.54.-r - Pattern selection; pattern formation.
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