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math.SG2015★ 1 cited
Cayley-Sylvester invariants and the Hamilton equations
P. L. Robinson
We note implications of the Cayley-Sylvester theory of invariants and covariants for the Hamilton equations generated by cubic and quartic Hamiltonian functions.
math.SG2015
Cubic Hamiltonians
P. L. Robinson
We determine a precise necessary and sufficient condition for completeness of the Hamiltonian vector field associated to a homogeneous cubic polynomial on a symplectic plane.