Persistent Invariant Manifolds

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


In this section, we establish the existence of certain infinite-dimensional (codimension 1 and 2) invariant manifolds for the enlarged, perturbed system (EPNLS) (2.5.9), using a dichotomy of time scales, i.e., using normal hyperbolicity.


Invariant Manifold Cauchy Sequence Center Manifold Unique Fixed Point Transversal Bundle 
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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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