Asymptotics of Maxwell time in the plate-ball problem

被引：0

作者：

Mashtakov A.P. ^{[1
]}

Popov A.Y. ^{[1
]}

机构：

[1] Program Systems Institute of RAS, Pereslavl-Zalessky

来源：

Journal of Mathematical Sciences | 2013年 / 195卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

Discrete Symmetry; Unique Root; Asymptotic Case; Extremal Trajectory; Mathematical Pendulum;

D O I：

10.1007/s10958-013-1583-3

中图分类号：

学科分类号：

摘要：

The problem on rolling of a sphere on a plane without slipping or twisting is considered. One should roll the sphere from one contact configuration to another so that the length of the curve traced by the contact point in the plane is the shortest possible. The asymptotics of Maxwell time for rolling of the sphere along small amplitude sinusoids is studied. A two-sided estimate for this asymptotics is obtained. © 2013 Springer Science+Business Media New York.

引用

页码：336 / 368

页数：32

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