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arXiv 0906.3780nlin.SI
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广义第四Appelrot类的分歧图

Bifurcation diagram of the generalized 4th Appelrot class

Mikhail P. Kharlamov

摘要:

这篇文章继续作者的出版物[机械。Tela,No.34,2004],其中在双力场的情况下,找到了Kowalevski顶运动的Appelrot类的推广。我们考虑第四Appelrot类的类似物。这个家庭的轨迹填充的表面,这是四维在其通用点的邻域。指出了两个积分的完备系统。对于这些积分的分歧图的建立和相应的常数的容许区域被发现。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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