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On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems (1608.01507v1)
Published 4 Aug 2016 in math-ph, math.MP, and math.SG
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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