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


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.


Invariant Manifold Unstable Manifold Stable Manifold Center Manifold Invariant Torus 
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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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