Beyond Quartic Hamiltonians

Abstract

We investigate the Hamiltonian system generated by a homogeneous binary polynomial $U$ of order greater than four. In particular, we study the circumstances under which the associated Hessian is a Weierstrass $\wp$ function and find that the vanishing of two covariants of $U$ is involved.

References in corpus (1)

• Cayley-Sylvester invariants and the Hamilton equations