Bifurcation diagram of the generalized 4th Appelrot class

Details Bifurcation diagram of the generalized 4th Appelrot class Bifurcation diagram of the generalized 4th Appelrot class

2009-06-20

arxiv.org/abs/0906.3780v1

Mech. tverd. tela, 2005, No. 35, pp. 38-48

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 11 pages, 3 figures

Scientific paper

The article continues the author's publication in [Mech. Tverd. Tela, No. 34, 2004], in which the generalizations of the Appelrot classes of the Kowalevski top motions are found for the case of the double force field. We consider the analogue of the 4th Appelrot class. The trajectories of this family fill the surface which is four-dimensional in the neighborhood of its generic points. The complete system of two integrals is pointed out. For these integrals the bifurcation diagram is established and the admissible region for the corresponding constants is found.

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