Absolute choreographies of point vortices on a sphere

被引：3

作者：

Tronin, KG ^{[1
]}

机构：

[1] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2006年 / 11卷 / 01期

关键词：

absolute choreographies; point vortices;

D O I：

10.1070/RD2006v011n01ABEH000338

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New periodic solutions to the problem of three and four identical vortices on a sphere axe specified. These solutions correspond to choreographies of vortices on a plane. We also describe different methods to construct choreographies for an arbitrary number of vortices. The most interesting methods are based on splitting of the static symmetrical vortex configurations on a sphere.

引用

页码：123 / 130

页数：8

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