On integration of the Kowalevski gyrostat and the Clebsch problems

Details On integration of the Kowalevski gyrostat and the Clebsch problems On integration of the Kowalevski gyrostat and the Clebsch problems

2004-12-17

arxiv.org/abs/nlin/0412041v1

Regular and Chaotic Dynamics, v.9(2), p. 169, 2004.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 24 pages

Scientific paper

10.1088/0305-4470/38/13/007

For the Kowalevski gyrostat change of variables similar to that of the Kowalevski top is done. We establish one to one correspondence between the Kowalevski gyrostat and the Clebsch system and demonstrate that Kowalevski variables for the gyrostat practically coincide with elliptic coordinates on sphere for the Clebsch case. Equivalence of considered integrable systems allows to construct two Lax matrices for the gyrostat using known rational and elliptic Lax matrices for the Clebsch model. Associated with these matrices solutions of the Clebsch system and, therefore, of the Kowalevski gyrostat problem are discussed. The Kotter solution of the Clebsch system in modern notation is presented in detail.

Affiliated with

Also associated with

No associations

Rating

On integration of the Kowalevski gyrostat and the Clebsch problems 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 integration of the Kowalevski gyrostat and the Clebsch problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On integration of the Kowalevski gyrostat and the Clebsch problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159618