The asymptotic completeness of inertial manifolds

  title={The asymptotic completeness of inertial manifolds},
  author={James C. Robinson},
An investigation of the asymptotic completeness property for inertial manifolds leads to the concept of `flow-normal hyperbolicity', which is more natural in this case than the traditional form of normal hyperbolicity derived from the linearized flow near the manifold. An example shows that without flow-normal hyperbolicity asymptotic completeness cannot be guaranteed. The analysis also yields a new result on the asymptotic equivalence of ordinary differential equations. 

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