Nambu--Poisson reformulation of the finite dimensional dynamical systems

Details Nambu--Poisson reformulation of the finite dimensional dynamical systems Nambu--Poisson reformulation of the finite dimensional dynamical systems

1999-03-03

arxiv.org/abs/solv-int/9903002v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, latex, no figures

Scientific paper

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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