On the regularization of the collision solutions of the one-center problem with weak forces

Details On the regularization of the collision solutions of the one-center problem with weak forces On the regularization of the collision solutions of the one-center problem with weak forces

2009-05-11

arxiv.org/abs/0905.1579v1

Mathematics

Dynamical Systems

21 pages, 8 figures

Scientific paper

We study the possible regularization of collision solutions for one centre problems with a weak singularity. In the case of logarithmic singularities, we consider the method of regularization via smoothing of the potential. With this technique, we prove that the extended flow, where collision solutions are replaced with a transmission trajectory, is continuous, though not differentiable, with respect to the initial data.

Affiliated with

Also associated with

No associations

Rating

On the regularization of the collision solutions of the one-center problem with weak forces 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 On the regularization of the collision solutions of the one-center problem with weak forces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the regularization of the collision solutions of the one-center problem with weak forces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701183