Attractor Sets as C1-Manifolds

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

Abstract

It is of some interest to determine when the attractor A(F) is a C1-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 Ck-retractions which are defined as Ck maps γ from a Banach manifold into itself such that γ2 = γ, k ≥ 1.

Keywords

Variational Equation Compact Manifold Neighborhood Versus Tubular Neighborhood Connected Manifold 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations