Abstract

The motion of a heavy rigid thin rod on the surface of a right circular cylinder is considered. It is assumed that the angle between the generatrix of the cylinder and the direction of gravity is nonzero. The positions of equilibria of the rod on a cylinder form an equilibrium manifold (for all these equilibria the rod rests on the cylinder by its center of mass). The effect of transgression (nontrivial evolution along the equilibrium manifold) of the rod on the cylinder is studied using the normal form method.

中文翻译：

---

圆柱上杆运动问题中的海侵效应

摘要

考虑重刚性细杆在直圆柱体表面上的运动。假设圆柱体的母线与重力方向之间的角度不为零。圆柱体上杆的平衡位置形成平衡流形（对于所有这些平衡，杆通过其质心靠在圆柱体上）。使用范式方法研究了杆对圆柱体的海侵（沿平衡流形的非平凡演化）的影响。