Nambu--Poisson reformulation of the finite dimensional dynamical systems

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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.
6 pages, latex, no figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94500

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9903002
 http://arxiv.org/abs/solv-int/9903002

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arXiv