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Near equilibrium and periodic orbits

  • Jack K. Hale
  • Sjoerd M. Verduyn Lunel
Part of the Applied Mathematical Sciences book series (AMS, volume 99)

Abstract

In this section, we consider autonomous FDE of retarded or neutral type and discuss the behavior of the solutions near equilibrium points and periodic orbits. We concentrate particularly on the existence of stable, unstable, center-stable, and center-unstable manifolds.

Keywords

Periodic Solution Periodic Orbit Equilibrium Point Invariant Manifold Neighborhood Versus 
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 1993

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Sjoerd M. Verduyn Lunel
    • 2
  1. 1.Georgia Institute of TechnologySchool of MathematicsAtlantaUSA
  2. 2.Vrije Universiteit AmsterdamAmsterdamThe Netherlands

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