Bifurcation Diagram of the Two Vortices in a Bose-Einstein Condensate with Intensities of the Same Signs

被引：4
作者：
Sokolov, S. V. [1 ,2 ]
Ryabov, P. E. [2 ,3 ,4 ]
机构：
[1] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Oblast, Russia
[2] Russian Acad Sci, Inst Machines Sci, Moscow 101990, Russia
[3] Financial Univ Govt Russian Federat, Moscow 125993, Russia
[4] Udmurt State Univ, Izhevsk 426034, Russia
来源：
DOKLADY MATHEMATICS | 2018年 / 97卷 / 03期
关键词：
IDEAL FLUID; CIRCULAR-CYLINDER; POINT VORTEX; RIGID-BODY; MOTION; STABILITY; DYNAMICS;
D O I：
10.1134/S1064562418030249
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the problem of motion of a system of two point vortices in a Bose-Einstein condensate enclosed in a cylindrical trap. Bifurcation diagram is analytically determined for the intensities of one sign and bifurcations of Liouville tori are investigated. We obtain explicit formulas for determining the type of critical trajectories, which allow us to investigate the stability of the obtained solutions.
引用
收藏
页码：286 / 290
页数：5
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