Transgression Effect in the Problem of the Motion of a Rod on a Cylinder

被引：1

作者：

Kuleshov, A. S. ^{[1
]}

Vidov, N. M. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

来源：

VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2023年 / 56卷 / 03期

关键词：

nonholonomic system; equilibrium manifold; transgression effect; INTEGRABLE CONSTRAINTS; CONSEQUENCES; PERTURBATION;

D O I：

10.1134/S1063454123030068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：403 / 411

页数：9

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