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Bibliographical Notes

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

Abstract

The abstract framework in this section was introduced in Hale [11]. Hale and Lopes [14] (see also Hale [10], Massatt [32, 33]) proved the result in Section 1 that a compact dissipative α-contraction Tf(t) has A(f) compact, Billotti and LaSalle [3] proved the same result for point dissipative maps Tf(t) which are completely continuous for t ≥ r. For some other evolutionary systems which are special cases of the abstract framework in Section 1, see Hale [11], Massatt [34]. For partial results on question Q5, see Chernoff and Marsden [52], Hale and Scheurle [53].

Keywords

Hopf Bifurcation Unstable Manifold Hausdorff Dimension Abstract Framework Bibliographical Note 
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-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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