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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1450-5584 2406-0925 |