The Dimension of the Attractor

  • Jack K. Hale
  • Luis T. Magalhães
  • Waldyr M. Oliva
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 A(F), F ∈ Xk, k ≥ 1. This will be given in terms of limit capacity and Hausdorff dimension. The principal results are applicable not only to RFDE’s but to the abstract dynamical systems considered in Section 1.

Keywords

Manifold Mane Hull 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Luis T. Magalhães
    • 2
  • Waldyr M. Oliva
    • 3
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Universidade Tecnica de LisbõaLisbonPortugal
  3. 3.Departmento de Matemática Aplicada, Instituto de Matemática e EstatisticaUniversidade de São PauloSão PauloBrasil

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