Center Manifolds for Invariant Manifolds
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Abstract
We study dynamics of flows generated from smooth vector fields in R^n in the vicinity of an invariant and closed smooth manifold Y. By applying the Hadamard graph transform technique, we show that there exists an
invariant manifold (called a center manifold of Y) based on the information of
the linearization along Y, which contains every locally bounded solution and
is persistent under small perturbations.
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1997
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