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

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Singularity Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1463))

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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Authors
  1. Odo Diekmann
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  2. Stephan A. van Gils
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Editor information

Mark Roberts Ian Stewart

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© 1991 Springer-Verlag

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Diekmann, O., van Gils, S.A. (1991). The center manifold for delay equations in the light of suns and stars. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085429

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  • DOI: https://doi.org/10.1007/BFb0085429

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53736-6

  • Online ISBN: 978-3-540-47047-2

  • eBook Packages: Springer Book Archive

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