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Nambu--Poisson reformulation of the finite dimensional dynamical systems

Dumitru Baleanu·Nugzar Makhaldiani
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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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BibTeXRIS

Dumitru Baleanu, Nugzar Makhaldiani. 1999-03-03. Nambu--Poisson reformulation of the finite dimensional dynamical systems. https://arxiv.org/abs/solv-int/9903002

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