On the generalized Hamiltonian structure of 3D dynamical systems

Details On the generalized Hamiltonian structure of 3D dynamical systems On the generalized Hamiltonian structure of 3D dynamical systems

2002-11-17

arxiv.org/abs/math-ph/0211035v1

Phys. Lett. A v. 199 (1995) 173-179

Physics

Mathematical Physics

Scientific paper

10.1016/0375-9601(95)00113-H

The Poisson structures for 3D systems possessing one constant of motion can
always be constructed from the solution of a linear PDE. When two constants of
the motion are available the problem reduces to a quadrature and the structure
functions include an arbitrary function of them.

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