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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 1, Pages 15–34
DOI: https://doi.org/10.2298/TAM161118001E (Mi tam18) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

Oğul Esena, Anindya Ghose Choudhuryb, Partha Guhac

a Department of Mathematics, Gebze Technical University, Gebze-Kocaeli, Turkey
b Department of Physics, Surendranath College, Calcutta, India
c SN Bose National Centre for Basic Sciences, Salt Lake, Kolkata, India
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DOI: https://doi.org/10.2298/TAM161118001E
Abstract: 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 Hindmarsh–Rose model can be written in a bi-Hamiltonian/Nambu metriplectic form.
Keywords: Darboux integrability method, the reduced three-wave interaction problem, Rabinovich system, Hindmarsh–Rose model, oregonator model, metriplectic Structure, Nambu-Poisson brackets.
Received: 18.11.2016
Revised: 23.02.2017
Bibliographic databases:
Document Type: Article
MSC: 37K10, 70G45
Language: English
Citation: Oğul Esen, Anindya Ghose Choudhury, Partha Guha, “On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D”, Theor. Appl. Mech., 44:1 (2017), 15–34
Citation in format AMSBIB
\Bibitem{EseGhoGuh17}
\by O{\u g}ul~Esen, Anindya~Ghose Choudhury, Partha~Guha
\paper On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 1
\pages 15--34
\mathnet{http://mi.mathnet.ru/tam18}
\crossref{https://doi.org/10.2298/TAM161118001E}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000406046300002}
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    • This publication is cited in the following 3 articles:
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