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.

引用

页码：1 / 17

页数：16

共 50 条

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