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dc.contributor.authorChow, Shui-Nee
dc.contributor.authorLiu, Weishi
dc.contributor.authorYi, Yingfei
dc.date.accessioned2015-03-03T21:04:23Z
dc.date.available2015-03-03T21:04:23Z
dc.date.issued2000-06-27
dc.identifier.citationChow, Shui-Nee., Liu, Weishi., Yi, Yingfei. "Center manifolds for smooth invariant manifolds." Trans. Amer. Math. Soc. 352 (2000), 5179-5211. http://dx.doi.org/10.1090/S0002-9947-00-02443-0.en_US
dc.identifier.urihttp://hdl.handle.net/1808/16948
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1090/S0002-9947-00-02443-0. First published in Trans. Amer. Math. Soc. in 2000, published by the American Mathematical Society.en_US
dc.description.abstractWe study dynamics of flows generated by smooth vector fields in Rn 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.en_US
dc.publisherAmerican Mathematical Societyen_US
dc.subjectCenter manifolden_US
dc.subjectgraph transformen_US
dc.subjectoverflowingen_US
dc.titleCenter manifolds for smooth invariant manifoldsen_US
dc.typeArticle
kusw.kuauthorLiu, Weishi
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1090/S0002-9947-00-02443-0
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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