Center Manifolds, Hopf Bifurcation, and Normal Forms

Pierre Magal, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages249-308
Number of pages60
DOIs
StatePublished - Jan 1 2018

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume201
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

ASJC Scopus subject areas

  • Applied Mathematics

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  • Cite this

    Magal, P., & Ruan, S. (2018). Center Manifolds, Hopf Bifurcation, and Normal Forms. In Applied Mathematical Sciences (Switzerland) (pp. 249-308). (Applied Mathematical Sciences (Switzerland); Vol. 201). Springer. https://doi.org/10.1007/978-3-030-01506-0_6