Center Manifolds for Invariant Manifolds

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Title: Center Manifolds for Invariant Manifolds
Author: Chow, Shui-Nee ; Liu, Weishi ; Yi, Yingfei
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.
Description: First published in Transactions of the American Mathematical Society in 1997, published by the American Mathematical Society.
Type: Pre-print
Date: 1997
Contributor: Georgia Institute of Technology. School of Mathematics
University of Missouri--Columbia. Dept. of Mathematics
Relation: CDSNS96-241
Publisher: Georgia Institute of Technology
American Mathematical Society
Subject: Center manifold
Graph transform

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