Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top

Details Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top

2008-03-06

arxiv.org/abs/0803.0882v1

Ukrainian Mathematical Bulletin, V.1 (2004), N 4, 569-586

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 11 pages

Scientific paper

In the phase space of the integrable Hamiltonian system with three degrees of freedom used to describe the motion of a Kowalevski-type top in a double constant force field, we point out the four-dimensional invariant manifold. It is shown that this manifold consists of critical motions generating a smooth sheet of the bifurcation diagram, and the induced dynamic system is Hamiltonian with certain subset of points of degeneration of the symplectic structure. We find the transformation separating variables in this system. As a result, the solutions can be represented in terms of elliptic functions of time. The corresponding phase topology is completely described.

Affiliated with

Also associated with

No associations

Rating

Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top 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 Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-13997