论文标题

实现非凸域中可综合台球的liouville叶分叉的实现

Realization of bifurcations of Liouville foliations for integrable billiards in non-convex domains

论文作者

Moskvin, Viktor

论文摘要

台球是一个动力学系统,其中粒子在直线和边界的镜面反射之间交替。对于非凸面区域中的台球,研究了由共聚焦四边形部分界定的。描述了liouville叶的三维分叉的拓扑。

A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflection from a boundary. For billiards in non-convex areas bounded by segments of confocal quadrics are studied. The topology of 3-dimmensional bifurcations of Liouville foliations is described.

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