On the Lie symmetries of a class of generalized Ermakov systems
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
The symmetry analysis of Ermakov systems is extended to the generalized case where the frequency depends on the dynamical variables besides time. In this extended framework, a whole class of nonlinearly coupled oscillators are viewed as Hamiltonian Ermakov system and exactly solved in closed form.
Keywords
Cite
@article{arxiv.math-ph/0211031,
title = {On the Lie symmetries of a class of generalized Ermakov systems},
author = {J. Goedert and F. Haas},
journal= {arXiv preprint arXiv:math-ph/0211031},
year = {2015}
}