Relative equilibrium configurations of point vortices on a sphere

被引：5

作者：

Demina, Maria V. ^{[1
]}

Kudryashov, Nikolai A. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPhI, Dept Appl Math, Moscow 115409, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2013年 / 18卷 / 04期

关键词：

point vortices; sphere; relative equilibrium; fixed equilibrium; Platonic solids; POLYNOMIALS;

D O I：

10.1134/S1560354713040023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of constructing and classifying equilibrium and relative equilibrium configurations of point vortices on a sphere is studied. A method which enables one to find any such configuration is presented. Configurations formed by the vortices placed at the vertices of Platonic solids are considered without making the assumption that the vortices possess equal in absolute value circulations. Several new configurations are obtained.

引用

页码：344 / 355

页数：12

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