Polynomial constants of motion in flat space

@inproceedings{Thompson1984PolynomialCO,
  title={Polynomial constants of motion in flat space},
  author={Gerard Thompson},
  year={1984}
}
Some general results on commuting integrals for a Hamiltonian system are given. The question of the existence of integrals which are polynomial in the momenta is investigated and the results applied to a variety of mechanical systems.