Kovalevskaya问题第一积分公共水平的分歧
Bifurcation of common levels of first integrals of the Kovalevskaya problem
摘要：
研究了重刚体绕不动点运动的Kovalevskaya问题中积分流形的结构。给出了分支集的解析描述，并构造了分支图。二维环面的数量表示为第一积分常数空间中分支集的补充的每个连通分量。描述了正则环面的主要拓扑分支。
英文摘要：
The structure of integral manifolds in the Kovalevskaya problem of the motion of a heavy rigid body about a fixed point is considered. An analytic description of a bifurcation set is obtained, and bifurcation diagrams are constructed. The number of two-dimensional tori is indicated for each connected component of the supplement to the bifurcation set in the space of the first integrals constants. The main topological bifurcations of the regular tori are described.
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