Point Charges and Polygonal Linkages

被引：0
|
作者：
Giorgi Khimshiashvili
Gaiane Panina
Dirk Siersma
Vladimir Zolotov
机构：
[1] Ilia State University,
[2] Institute for Informatics and Automation,undefined
[3] Saint-Petersburg State University,undefined
[4] University of Utrecht,undefined
来源：
Journal of Dynamical and Control Systems | 2017年 / 23卷
关键词：
Mechanical linkage; Configuration space; Moduli space; Coulomb potential; Cayley-Menger determinant; Coulomb control; 70Q05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the critical points of Coulomb potential of point charges placed at the vertices of a planar polygonal linkage. It is shown that, for a collection of positive charges on a pentagonal linkage, there is a unique critical point in the set of convex configurations which is the point of absolute minimum. This enables us to prove that two controlling charges are sufficient to navigate between any two convex configurations of a pentagonal linkage.
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页码：1 / 17
页数：16
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