Asymptotic Hamiltonian reduction for the dynamics of a particle on a surface
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We consider the motion of a particle on a surface which is a small perturbation of the standard sphere. One may qualitatively describe the motion by means of a precessing great circle of the sphere. The observation is employed to derive a subsidiary Hamiltonian system that has the form of equations for the top with a 4-th order Hamiltonian, and provides the detailed asymptotic description of the particle's motion in terms of graphs on the standard sphere.
Keywords
Cite
@article{arxiv.math-ph/0512032,
title = {Asymptotic Hamiltonian reduction for the dynamics of a particle on a surface},
author = {V. L. Golo and D. O. Sinitsyn},
journal= {arXiv preprint arXiv:math-ph/0512032},
year = {2007}
}