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Introduction

  • Charles Li
  • Stephen Wiggins
Part of the Applied Mathematical Sciences book series (AMS, volume 128)

Abstract

In this introductory chapter we want to give a brief survey of results on invariant manifolds and fibers in infinite dimensions as well as describe the aims and scope of this monograph. Recent books by Wiggins [86] and Bronstein and Kopanskii [9] survey invariant manifold results in finite dimensions. Here we will be focusing solely on surveying results in the infinite-dimensional setting.

Keywords

Invariant Manifold Unstable Manifold Stable Manifold Center Manifold Invariant Torus 
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 1997

Authors and Affiliations

  • Charles Li
    • 1
  • Stephen Wiggins
    • 2
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of Applied MechanicsCalifornia Institute of TechnologyPasadenaUSA

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