4 citations · 10 across the 10 of their papers we have counts for
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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.
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.
Automorphisms of Quadratic Liouville Structures
P. L. Robinson
We examine the diffeomorphisms of a symplectic vector space that preserve a chosen symplectic potential. Our examination yields an explicit description of these diffeomorphisms whe…
Automorphisms of Liouville Structures
P. L. Robinson
By a Liouville structure on a symplectic manifold we mean a choice of symplectic potential: that is, a choice of one-form on such that . We determine…