The center manifold for delay equations in the light of suns and stars

  • Odo Diekmann
  • Stephan A. van Gils
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1463)


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.


Banach Space Hopf Bifurcation Invariant Manifold Functional Differential Equation Center Manifold 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Odo Diekmann
  • Stephan A. van Gils

There are no affiliations available

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