On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial   Systems
  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. 
O\u{g}ul Esen, Anindya Ghose Choudhury, Partha Guha
math-ph math.MP math.SG