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arXiv · 1608.01507

On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems

Oğul Esen·Anindya Ghose Choudhury·Partha Guha
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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.

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Oğul Esen, Anindya Ghose Choudhury, Partha Guha. 2016-08-04. On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems. https://doi.org/10.2298/tam161118001e

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