New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta

Details New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta

1997-12-27

arxiv.org/abs/dg-ga/9712018v1

Mathematics

Differential Geometry

17 pages, AMS-LaTeX

Scientific paper

There is a well-known example of integrable conservative system on $S^2$, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. Goryachev proposed a one-parameter family of examples of conservative systems on $S^2$ possessing an integral of fourth degree in momenta which includes the case of Kovalevskaya. In this paper we proposed new examples of conservative systems on $S^2$ possessing an integral of fourth degree in momenta.

Affiliated with

Also associated with

No associations

Rating

New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta 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 New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145409