TY - JOUR
T1 - A Constructive Method for Computing Generalized Manley-Rowe Constants of Motion
AU - Elena Kartashova & Loredana Tec
JO - Communications in Computational Physics
VL - 4
SP - 1094
EP - 1102
PY - 2013
DA - 2013/10
SN - 14
DO - http://doi.org/10.4208/cicp.181212.220113a
UR - https://global-sci.org/intro/article_detail/cicp/7194.html
KW - 
AB - <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>