Volume 83, Number 5, September 2008
Article Number 50012
Number of page(s) 6
Section General
Published online 03 September 2008
EPL, 83 (2008) 50012
DOI: 10.1209/0295-5075/83/50012

Cluster dynamics of planetary waves

E. 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.

© EPLA 2008