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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2017-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2017/1450-55841700001E.pdf |
| _version_ | 1819194688419135488 |
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| author | Esen Oğul Choudhury Ghose Anindya Guha Partha |
| author_facet | Esen Oğul Choudhury Ghose Anindya Guha Partha |
| author_sort | Esen Oğul |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T02:00:50Z |
| format | Article |
| id | doaj.art-4287239d23b34a0d9dd32e7c620f486e |
| institution | Directory Open Access Journal |
| issn | 1450-5584 2406-0925 |
| language | English |
| last_indexed | 2024-12-23T02:00:50Z |
| publishDate | 2017-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-4287239d23b34a0d9dd32e7c620f486e2022-12-21T18:03:59ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252017-01-01441153410.2298/TAM161118001E1450-55841700001EOn integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3DEsen Oğul0Choudhury Ghose Anindya1Guha Partha2Gebze Technical University, Department of Mathematics, Gebze-Kocaeli, TurkeySurendranath College, Department of Physics, Calcutta, IndiaSN Bose National Centre for Basic Sciences, Salt Lake, Kolkata, IndiaThe 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.http://www.doiserbia.nb.rs/img/doi/1450-5584/2017/1450-55841700001E.pdfDarboux integrability methodthe reduced three-wave interaction problemRabinovich systemHindmarsh-Rose modeloregonator modelmetriplectic StructureNambu-Poisson brackets |
| spellingShingle | Esen Oğul Choudhury Ghose Anindya Guha Partha On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D Theoretical and Applied Mechanics Darboux integrability method the reduced three-wave interaction problem Rabinovich system Hindmarsh-Rose model oregonator model metriplectic Structure Nambu-Poisson brackets |
| title | On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D |
| title_full | On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D |
| title_fullStr | On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D |
| title_full_unstemmed | On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D |
| title_short | On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D |
| title_sort | on integrals hamiltonian and metriplectic formulations of polynomial systems in 3d |
| topic | Darboux integrability method the reduced three-wave interaction problem Rabinovich system Hindmarsh-Rose model oregonator model metriplectic Structure Nambu-Poisson brackets |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2017/1450-55841700001E.pdf |
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