On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems
Mathematical Physics
2017-08-02 v1 math.MP
Symplectic Geometry
Abstract
We apply the Darboux integrability method to determine first integrals and Hamiltonian formulations of three dimensional polynomial systems; namely the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the oregonator model. Additionally, we investigate their Hamiltonian, Nambu-Poisson and metriplectic characters.
Keywords
Cite
@article{arxiv.1608.01507,
title = {On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems},
author = {Oğul Esen and Anindya Ghose Choudhury and Partha Guha},
journal= {arXiv preprint arXiv:1608.01507},
year = {2017}
}