A new integrable system on the sphere
Dynamical Systems
2011-08-22 v1 Mathematical Physics
Differential Geometry
math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
Abstract
We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) two-dimensional sphere. The second integral is cubic in the momenta.
Cite
@article{arxiv.math/0406209,
title = {A new integrable system on the sphere},
author = {Holger R. Dullin and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:math/0406209},
year = {2011}
}
Comments
LaTeX, 15 pages