Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system
Mathematical Physics
2022-05-31 v1 Classical Analysis and ODEs
math.MP
Abstract
We revise recent results on the classification of the generalized three-dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the solution for the classification problem was incomplete. We present the correct classification for the three-dimensional system by using results which related the background space with the dynamics. Finally, we extend our results for the generalized % -dimensional Hamiltonian Ermakov system.
Cite
@article{arxiv.2205.14577,
title = {Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system},
author = {Andronikos Paliathanasis and Genly Leon and P. G. L. Leach},
journal= {arXiv preprint arXiv:2205.14577},
year = {2022}
}
Comments
10 pages, published in Mathematical Methods in the Applied Sciences