Please use this identifier to cite or link to this item: https://doi.org/10.1006/jdeq.2000.3890
Title: Center Manifolds for Invariant Sets
Authors: Chow, S.-N. 
Liu, W.
Yi, Y.
Keywords: Center manifold
Graph transform
Overflowing
Issue Date: 10-Dec-2000
Source: Chow, S.-N., Liu, W., Yi, Y. (2000-12-10). Center Manifolds for Invariant Sets. Journal of Differential Equations 168 (2) : 355-385. ScholarBank@NUS Repository. https://doi.org/10.1006/jdeq.2000.3890
Abstract: We derive a general center manifolds theory for a class of compact invariant sets of flows generated by a smooth vector field in Rn. By applying the Hadamard graph transform technique, it is shown that, associated to a natural dynamical characteristic 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. © 2000 Academic Press.
Source Title: Journal of Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/102970
ISSN: 00220396
DOI: 10.1006/jdeq.2000.3890
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