The Center Manifold Theorem

  • J. E. Marsden
  • M. McCracken
Part of the Applied Mathematical Sciences book series (AMS, volume 19)

Abstract

In this section we will start to carry out the program outlined in Section 1 by proving the center manifold theorem. The general invariant manifold theorem is given in Hirsch-Pugh-Shub [1]. Most of the essential ideas are also in Kelley [1] and a treatment with additional references is contained in Hartman [1]. However, we shall follow a proof given by Lanford [1] which is adapted to the case at hand, and is direct and complete. We thank Professor Lanford for allowing us to reproduce his proof.

Keywords

Manifold 

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Copyright information

© Springer-Verlag New York Inc. 1976

Authors and Affiliations

  • J. E. Marsden
    • 1
  • M. McCracken
    • 2
  1. 1.Department of MathematicsUniversity of California at BerkeleyUSA
  2. 2.Department of MathematicsUniversity of California at Santa CruzUSA

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