After critical and precritical bifurcations of progressive wave in a generalized Ginzburg-Landau equation
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