@Article{CiCP-14-1094,
author = {Elena Kartashova and Loredana Tec},
title = {A Constructive Method for Computing Generalized Manley-Rowe Constants of Motion},
journal = {Communications in Computational Physics},
year = {2013},
volume = {14},
number = {4},
pages = {1094--1102},
abstract = {<p style="text-align: justify;">The Manley-Rowe constants of motion (MRC) are conservation laws written
out for a dynamical system describing the time evolution of the amplitudes in resonant
triad. In this paper we extend the concept of MRC to resonance clusters of any form
yielding generalized Manley-Rowe constants (gMRC) and give a constructive method
how to compute them. We also give details of a $Mathematica$ implementation of this
method. While MRC provide integrability of the underlying dynamical system, gMRC
generally do not but may be used for qualitative and numerical study of dynamical
systems describing generic resonance clusters.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.181212.220113a},
url = {http://global-sci.org/intro/article_detail/cicp/7194.html}
}