Global dynamics under a weak potential on a sphere
Dynamical Systems
2011-09-07 v1
Abstract
We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. After performing a McGehee-type blow-up in order to cope with the singularity of the potential, we investigate the rest-points of the flow, the invariant (stable and unstable) manifolds and we give a complete dynamical description of the motion.
Cite
@article{arxiv.1109.1128,
title = {Global dynamics under a weak potential on a sphere},
author = {Roberto Castelli and Francesco Paparella and Alessandro Portaluri},
journal= {arXiv preprint arXiv:1109.1128},
year = {2011}
}
Comments
20 pages, 6 figures