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Center Manifolds, Hopf Bifurcation, and Normal Forms
Book chapter

Center Manifolds, Hopf Bifurcation, and Normal Forms

Pierre Magal and Shigui Ruan
Theory and Applications of Abstract Semilinear Cauchy Problems, pp.249-308
Applied Mathematical Sciences, Springer International Publishing
2018-11-22

Abstract

The purpose of this chapter is to develop the center manifold theory, Hopf bifurcation theorem, and normal form theory for abstract semilinear Cauchy problems with non-dense domain.

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