Geodesic
After critical and precritical bifurcations of progressive wave in a~generalized Ginzburg--Landau equation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 71-78

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

A generalized time dependent Ginzburg–Landau equation is considered with periodic boundary conditions. There is contable number progressive wave. Local bifurcations of that solutions is edudied when they change the stability. The torus of the $2$ dimension bifurcate of each of the progressive wave. In particular, the possibility of precritic hard bifurcation is demonstrated for this equations.
Keywords: stability, soft and hard bifurcations
Mots-clés : invariant torus. 
@article{VUU_2009_4_a6,
     author = {A. N. Kulikov and D. A. Kulikov},
     title = {After critical and precritical bifurcations of progressive wave in a~generalized {Ginzburg--Landau} equation},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {71--78},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_4_a6/}
}
TY  - JOUR
AU  - A. N. Kulikov
AU  - D. A. Kulikov
TI  - After critical and precritical bifurcations of progressive wave in a~generalized Ginzburg--Landau equation
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2009
SP  - 71
EP  - 78
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2009_4_a6/
LA  - ru
ID  - VUU_2009_4_a6
ER  - 
%0 Journal Article
%A A. N. Kulikov
%A D. A. Kulikov
%T After critical and precritical bifurcations of progressive wave in a~generalized Ginzburg--Landau equation
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2009
%P 71-78
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2009_4_a6/
%G ru
%F VUU_2009_4_a6
A. N. Kulikov; D. A. Kulikov. After critical and precritical bifurcations of progressive wave in a~generalized Ginzburg--Landau equation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 71-78. http://geodesic.mathdoc.fr/item/VUU_2009_4_a6/