Nambu--Poisson reformulation of the finite dimensional dynamical systems
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
In this paper we introduce a system of nonlinear ordinary differential equations which in a particular case reduces to Volterra's system. We found in two simplest cases the complete sets of the integrals of motion using Nambu--Poisson reformulation of the Hamiltonian dynamics. In these cases we have solved the systems by quadratures.
Keywords
Cite
@article{arxiv.solv-int/9903002,
title = {Nambu--Poisson reformulation of the finite dimensional dynamical systems},
author = {Dumitru Baleanu and Nugzar Makhaldiani},
journal= {arXiv preprint arXiv:solv-int/9903002},
year = {2007}
}
Comments
6 pages, latex, no figures