标题： Smale-Fomenko 图和 Kowalevski-Yehia 情况的粗略拓扑不变量 显示英文标题

标题： Smale-Fomenko diagrams and rough topological invariants of the Kowalevski-Yehia case

摘要： 我们给出了Kowalevski-Yehia陀螺在秩1临界点处出现的原子的完整解析分类。 为了对Smale-Fomenko图进行分类，找到了陀螺动量的所有分离值。 我们提出了一种Fomenko图的构造器；其应用给出了该可积情况的粗糙拓扑的完整描述。 证明了存在恰好九组相同的分子（不考虑标记）。 这些组包含22种稳定的图类型和6种不稳定的图类型，这是根据临界层上的临界圆数量来判断的。 显示英文摘要

摘要： We present the complete analytical classification of the atoms arising at the critical points of rank 1 of the Kowalevski-Yehia gyrostat. To classify the Smale-Fomenko diagrams, all separating values of the gyrostatic momentum are found. We present a kind of constructor of the Fomenko graphs; its application gives the complete description of the rough topology of this integrable case. It is proved that there exists exactly nine groups of identical molecules (not considering the marks). These groups contain 22 stable types of graphs and 6 unstable ones with respect to the number of critical circles on the critical levels.