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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 1, Pages 119–138
(Mi nd211)
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This article is cited in 4 scientific papers (total in 4 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/nd211 https://www.mathnet.ru/eng/nd/v7/i1/p119
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