The existence conditions for periodic motions of the Kowalevski gyrostat in double force field

Details The existence conditions for periodic motions of the Kowalevski gyrostat in double force field The existence conditions for periodic motions of the Kowalevski gyrostat in double force field

2010-12-22

arxiv.org/abs/1012.5019v1

Russian: Mekh. Tverd. Tela 40(2010), pp. 50-62

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 13 pages

Scientific paper

Consider the integrable problem of motion of a gyrostat with the Kowalevski type inertia tensor in a double force field. We study the special periodic motions (the rank 1 critical points of the integral mapping) found by M.P. Kharlamov (Mekh. Tverd. Tela, No 37, 2007). Possible transformations inside the set of such motions depending on three essential parameters are studied. We obtain the analytical equations of the separating set and its singularities, point out the regions with different sets of motions. We find the image of the separating set in the space of parameters defining the bifurcation diagrams on iso-energetic levels. The most complicated calculations are fulfilled with the help of the computer system Mathematica 7.

Affiliated with

Also associated with

No associations

Rating

The existence conditions for periodic motions of the Kowalevski gyrostat in double force field 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 The existence conditions for periodic motions of the Kowalevski gyrostat in double force field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The existence conditions for periodic motions of the Kowalevski gyrostat in double force field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582432