- #1
jollage
- 63
- 0
Hi all,
I am not familiar with the dynamic system theory. When I was trying to understand the weakly nonlinear stability analysis, I realize the following question.
It is known that the center manifold reduction can be used to study the first linear bifurcation. This lead to the Ginzburg-Landau equation
Is the center manifold corresponding to the space
? I feel this because at the linear bifurcation, the growth rate of the disturbance is zero, which implies that
in the above equation.
Then does there exist a submanifold corresponding to
?
Thanks a lot.
I am not familiar with the dynamic system theory. When I was trying to understand the weakly nonlinear stability analysis, I realize the following question.
It is known that the center manifold reduction can be used to study the first linear bifurcation. This lead to the Ginzburg-Landau equation
Is the center manifold corresponding to the space
Then does there exist a submanifold corresponding to
Thanks a lot.