Nambu--Poisson reformulation of the finite dimensional dynamical systems
classification
solv-int
nlin.SI
keywords
casesnambu--poissonreformulationsystemsystemscasecompletedifferential
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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.
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