Geodesic
Stability of new relative equilibria of the system of three point vortices in a circular domain
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 1, pp. 119-138

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ND_2011_7_1_a5,
     author = {A. V. Borisov and I. S. Mamaev and A. V. Vas'kina},
     title = {Stability of new relative equilibria of the system of three point vortices in a circular domain},
     journal = {Russian journal of nonlinear dynamics},
     pages = {119--138},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_1_a5/}
}
TY  - JOUR
AU  - A. V. Borisov
AU  - I. S. Mamaev
AU  - A. V. Vas'kina
TI  - Stability of new relative equilibria of the system of three point vortices in a circular domain
JO  - Russian journal of nonlinear dynamics
PY  - 2011
SP  - 119
EP  - 138
VL  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2011_7_1_a5/
LA  - ru
ID  - ND_2011_7_1_a5
ER  - 
%0 Journal Article
%A A. V. Borisov
%A I. S. Mamaev
%A A. V. Vas'kina
%T Stability of new relative equilibria of the system of three point vortices in a circular domain
%J Russian journal of nonlinear dynamics
%D 2011
%P 119-138
%V 7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2011_7_1_a5/
%G ru
%F ND_2011_7_1_a5
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. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 1, pp. 119-138. http://geodesic.mathdoc.fr/item/ND_2011_7_1_a5/