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The Dimension of the Attractor

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

Abstract

The purpose of this section is to present results on the “size” of the attractor. This will be given in terms of limit capacity and Hausdorff dimension. The principal results are applicable not only to RFDE but also to some of the abstract dynamical systems considered in Section 2.

Keywords

Banach Space Periodic Solution Open Covering Compact Manifold Hausdorff Dimension 
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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