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Nelin. Dinam., 2011, Volume 7, Number 1, Pages 119–138 (Mi nd211)  

This article is cited in 1 scientific paper (total in 1 paper)

Stability of new relative equilibria of the system of three point vortices in a circular domain

A. V. Borisova, I. S. Mamaeva, A. V. Vas'kinab

a Institute of Computer Science
b Udmurt State University

Abstract: This paper presents a topological approach to the search and stability analysis of relative equilibria of three point vortices of equal intensities. It is shown that the equations of motion can be reduced by one degree of freedom. We have found two new stationary configurations (isosceles and non-symmetrical collinear) and studied their bifurcations and stability.

Keywords: point vortex; reduction; bifurcational diagram; relative equilibriums; stability; periodic solutions

Full text: PDF file (893 kB)
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Document Type: Article
UDC: 532.527, 532.5.013
MSC: 76M23, 34A05
Received: 22.11.2010
Revised: 02.03.2011

Citation: A. V. Borisov, I. S. Mamaev, A. V. Vas'kina, “Stability of new relative equilibria of the system of three point vortices in a circular domain”, Nelin. Dinam., 7:1 (2011), 119–138

Citation in format AMSBIB
\Bibitem{BorMamVas11}
\by A.~V.~Borisov, I.~S.~Mamaev, A.~V.~Vas'kina
\paper Stability of new relative equilibria of the system of three point vortices in a circular domain
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 1
\pages 119--138
\mathnet{http://mi.mathnet.ru/nd211}
\elib{http://elibrary.ru/item.asp?id=15648772}


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    This publication is cited in the following articles:
    1. A. Yu. Pogosov, O. V. Derevyanko, “Teoreticheskie osnovy inzhenernogo konstruirovaniya busternykh friktsionno-vikhrevykh turbin privodov nasosov avariinoi podpitki dlya AES”, Energosberezhenie. Energetika. Energoaudit, 2014, no. 10 (129), 18–26  elib
  • Нелинейная динамика
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