@article{RISC3788,author = {M.D. Bustamante and E. Kartashova},
title = {{Effect of the dynamical phases on the nonlinear amplitudes' evolution}},
language = {english},
abstract = {In this Letter we show how the nonlinear evolution of a resonant
triad depends on the special combination of the modes' phases chosen
accordingly to the resonance conditions. This phase combination is
called dynamical phase, its evolution is studied numerically, both
for a triad and for a cluster formed by two connected triads. We
show that dynamical phases, usually regarded as equal to zero or
constants, play substantial role in the dynamics of the clusters.
Indeed, effects are (i) to diminish the period of energy exchange
$\tau$ within a cluster by 20$\%$ and more; (ii) to diminish, at
time scale $\tau$, the variability of wave energies by 25$\%$ and
more; (iii) to generate a new time scale, $T >> \tau$, in which we
observe considerable energy exchange within a cluster, as well as an
increasing in the variability of modes' energies.
These findings can be applied, for example, to
the control of energy input, exchange and output in Tokamaks; for
explanation of some
experimental results, etc.
},
journal = {Europhysics Letters },
volume = {85},
pages = {34002--5},
publisher = {IOP },
isbn_issn = {ISSN (print edition): 0295-5075 ISSN (online): 1286-4854},
year = {2009},
refereed = {yes},
length = {5},
url = {http://www.iop.org/EJ/abstract/0295-5075/85/3/34002}
}