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A Theory for Imperfect Bifurcation Via Singularity Theory

Martin GolubitskyD. Schaeffer

出版	University of Wisconsin--Madison, Mathematics Research Center, 1978
URL	http://books.google.com.hk/books?id=wgQVGwAACAAJ&hl=&source=gbs_api

註釋

This paper applies the theory of singularities of differentiable mappings - specifically the unfolding theorem - to study the effect of imperfections in a system subject to bifurcation. In a number of special cases we have classified (up to a suitable equivalence) all the possible perturbations of the bifurcation equations by a finite number of imperfection parameters. These cases include both bifurcation from a double eigenvalue and from a simple eigenvalue degenerate in the sense of Crandall-Rabinowitz.