On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D

The first integrals of the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the Oregonator model are derived using the method of Darboux polynomials. It is shown that, the reduced three-wave interaction problem, the Rabinovich system, the Hindm...

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Bibliographic Details
Main Authors:	Esen Oğul, Choudhury Ghose Anindya, Guha Partha
Format:	Article
Language:	English
Published:	Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2017-01-01
Series:	Theoretical and Applied Mechanics
Subjects:	Darboux integrability method the reduced three-wave interaction problem Rabinovich system Hindmarsh-Rose model oregonator model metriplectic Structure Nambu-Poisson brackets
Online Access:	http://www.doiserbia.nb.rs/img/doi/1450-5584/2017/1450-55841700001E.pdf

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