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Attractor Sets as C1-Manifolds

  • Jack K. Hale
  • Luis T. Magalhães
  • Waldyr M. Oliva
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 47)

Abstract

It is of some interest to determine when the set A(F) of an RFDE F is a C 1-manifold, since it will then have a particularly simple geometric structure which will facilitate the study of qualitative properties of the flow. Results in this direction can be established through the use of C k -retractions which are defined as C k maps Υ from a Banach manifold into itself such that Υ2=Υ, k ≥ 1.

Keywords

Global Solution Invariant Manifold Compact Manifold Neighborhood Versus Tubular Neighborhood 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Luis T. Magalhães
    • 2
  • Waldyr M. Oliva
    • 2
  1. 1.School of MathematicsGeorgia TechAtlantaUSA
  2. 2.Departamento de MatemáticaInstituto Superior TécnicoLisbonPortugal

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