On the generalized Hamiltonian structure of 3D dynamical systems
classification
🧮 math-ph
math.MP
keywords
motionstructuresystemsalwaysarbitraryavailableconstantconstants
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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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