dorsal/arxiv
View SchemaNambu--Poisson reformulation of the finite dimensional dynamical systems
| Authors | Dumitru Baleanu, Nugzar Makhaldiani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903002 |
| URL | https://arxiv.org/abs/solv-int/9903002 |
Abstract
In this paper we introduce a system of nonlinear ordinary differential equations which in a particular case reduces to Volterra's system. We found in two simplest cases the complete sets of the integrals of motion using Nambu--Poisson reformulation of the Hamiltonian dynamics. In these cases we have solved the systems by quadratures.
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"abstract": "In this paper we introduce a system of nonlinear ordinary differential\nequations which in a particular case reduces to Volterra\u0027s system. We found in\ntwo simplest cases the complete sets of the integrals of motion using\nNambu--Poisson reformulation of the Hamiltonian dynamics. In these cases we\nhave solved the systems by quadratures.",
"arxiv_id": "solv-int/9903002",
"authors": [
"Dumitru Baleanu",
"Nugzar Makhaldiani"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Nambu--Poisson reformulation of the finite dimensional dynamical systems",
"url": "https://arxiv.org/abs/solv-int/9903002"
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