Global dynamics under a weak potential on a sphere

Details Global dynamics under a weak potential on a sphere Global dynamics under a weak potential on a sphere

2011-09-06

arxiv.org/abs/1109.1128v1

Mathematics

Dynamical Systems

20 pages, 6 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Global dynamics under a weak potential on a sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global dynamics under a weak potential on a sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global dynamics under a weak potential on a sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-93237