A geometrical method towards first integrals for dynamical systems
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
We develop a method, based on Darboux' and Liouville's works, to find first integrals and/or invariant manifolds for a physically relevant class of dynamical systems, without making any assumption on these elements' form. We apply it to three dynamical systems: Lotka--Volterra, Lorenz and Rikitake.
Cite
@article{arxiv.solv-int/9608007,
title = {A geometrical method towards first integrals for dynamical systems},
author = {Simon Labrunie and Robert Conte},
journal= {arXiv preprint arXiv:solv-int/9608007},
year = {2009}
}
Comments
15 pages, RevTeX with aps and prb styles