English

Beyond Quartic Hamiltonians

Classical Analysis and ODEs 2016-04-20 v1

Abstract

We investigate the Hamiltonian system generated by a homogeneous binary polynomial UU 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 UU is involved.

Keywords

Cite

@article{arxiv.1604.05683,
  title  = {Beyond Quartic Hamiltonians},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1604.05683},
  year   = {2016}
}
R2 v1 2026-06-22T13:36:06.206Z