Title:
Center Manifolds for Invariant Sets
Center Manifolds for Invariant Sets
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Author(s)
Chow, Shui-Nee
Liu, Weishi
Yi, Yingfei
Liu, Weishi
Yi, Yingfei
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Abstract
We derive a general center manifolds theory for a class of compact invariant sets of flows generated by a smooth vector fields in R^n. By applying the Hadamard graph transform technique, it is shown that, associated to certain dynamical characteristics of the linearized flow along the invariant set, there exists an invariant manifold (called a center manifold) of the invariant set which contains every locally bounded solution (in particular, contains the invariant set) and is persistent under small perturbations.
Sponsor
Partially supported by NSF grant DMS9803581.
Date Issued
1999
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Text
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Pre-print