The Center Manifold for Delay Equations in the Light of Suns and Stars

O DIEKMANN; SA VANGILS

The Center Manifold for Delay Equations in the Light of Suns and Stars

O DIEKMANN
, SA VANGILS

extern

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We state and prove the center manifold theorem for retarded functional differential equations. The method of proof is based on the variation-of-constants formula in the framework of dual semigroups. As an application we deal with Hopf bifurcation.

Original language	English
Pages (from-to)	122-141
Number of pages	20
Journal	Lecture Notes in Mathematics
Volume	1463
Publication status	Published - 1991
Externally published	Yes

Keywords

Center manifold
Dual semigroups
Hopf bifurcation
Retarded functional differential equations
Strongly continuous semigroups
Variation-of-constants formula
Weak continuous semigroups

Cite this

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abstract = "We state and prove the center manifold theorem for retarded functional differential equations. The method of proof is based on the variation-of-constants formula in the framework of dual semigroups. As an application we deal with Hopf bifurcation.",

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KW - Retarded functional differential equations

KW - Strongly continuous semigroups

KW - Variation-of-constants formula

KW - Weak continuous semigroups

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The Center Manifold for Delay Equations in the Light of Suns and Stars

Abstract

Keywords

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