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SUMMARY:Dynamics of nonlinear resonance clusters in atmosphere and oceans 
 - Bustamante\, M (Warwick)
DTSTART:20081210T103000Z
DTEND:20081210T110000Z
UID:TALK15619@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We regard as a starting point barotropic vorticity equation\, 
 for two types of boundary conditions: first\, on a rotating sphere\, secon
 d\, in a rectangular basin. Our main goal is to study the dynamical system
 s describing small clusters of nonlinear resonances\, the smallest one bei
 ng a triad.\nFor both types of boundary conditions\, the geometrical and t
 opological structures of the clusters are presented. It is shown that most
  frequently met clusters are integrable.\nIt is also shown that dynamical 
 phases\, usually regarded as equal to zero or constants\, play a substanti
 al role in the dynamics of resonance clusters. Indeed\, their effects are:
 \n(i) To reduce the period of energy exchange $	au$ within a cluster by 20
 % and more.\n(ii) To diminish\, at time scales of the order of $	au$\, the
  variability of wave energies by 25% and more.\n(iii) To generate a new ti
 me scale $T >> 	au$ in which we observe a considerable energy exchange wit
 hin a cluster\, as well as an increase in the variability of wave energies
  for each and every mode.
LOCATION:Seminar Room 1\, Newton Institute
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