The dynamics of three vortex sources

被引：15

作者：

Bizyaev, Ivan A. ^{[1
]}

Borisov, Alexey V. ^{[1
,2
]}

Mamaev, Ivan S. ^{[1
,3
]}

机构：

[1] Udmurt State Univ, Izhevsk 426034, Russia

[2] RAS, Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia

[3] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 06期

关键词：

integrability; vortex sources; shape sphere; reduction; homothetic configurations; CHAOTIC ADVECTION;

D O I：

10.1134/S1560354714060070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system's configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.

引用

页码：694 / 701

页数：8

共 14 条

[1]

[Anonymous], 1976, IZV AKAD NAUK SSSR M, P21

[2]

[Anonymous], 1995, IZV AKAD NAUK SSSR M, P183

[3]

Bogomolov V. A., 1976, FLUID DYNAM, V11, P508

[4] On the problem of motion of vortex sources on a plane [J].