Geodesic
Stationary configurations for the system of three point vortices in circular domain and their stability
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 61-70

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

In this paper, topological approach are used for searching and stability analysis of relative equilibriums for the system of three point vortices of equal in magnitude intensities. It is shown that the system of three point vortices can be reduced by one degree of freedom. We find the two new stationary configurations (isosceles and non-symmetrical collinear), study their bifurcations. The stability analysis is performed for these cases.
Mots-clés : point vortex, equations of motion
Keywords: reduction, bifurcational diagram, relative equilibriums. 
@article{VUU_2010_4_a6,
     author = {A. V. Vaskina},
     title = {Stationary configurations for the system of three point vortices in circular domain and their stability},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {61--70},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_4_a6/}
}
TY  - JOUR
AU  - A. V. Vaskina
TI  - Stationary configurations for the system of three point vortices in circular domain and their stability
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2010
SP  - 61
EP  - 70
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2010_4_a6/
LA  - ru
ID  - VUU_2010_4_a6
ER  - 
%0 Journal Article
%A A. V. Vaskina
%T Stationary configurations for the system of three point vortices in circular domain and their stability
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2010
%P 61-70
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2010_4_a6/
%G ru
%F VUU_2010_4_a6
A. V. Vaskina. Stationary configurations for the system of three point vortices in circular domain and their stability. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 61-70. http://geodesic.mathdoc.fr/item/VUU_2010_4_a6/