Singularity Sphere in the Dynamic Bifurcation of Ginzburg-landau Equation
نویسندگان
چکیده
We study in this paper the bifurcation and singularities of the Ginzburg–Landau equation. The existence and structure of the bifurcated solutions are obtained by T. Ma, J. Park and S. Wang [8] and now we prove that the bifurcated invariant set Σλ contains at least C k n = n···(n−k+1) k! singularity manifolds T k+1 provided λ crosses the second eigenvalue α of −α∆. And we achieved the similar results when λ crosses the rest of eigenvalues.
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