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dc.contributor.authorChow, Shui-Nee
dc.contributor.authorLiu, Weishi
dc.contributor.authorYi, Yingfei
dc.date.accessioned2009-08-10T19:05:10Z
dc.date.available2009-08-10T19:05:10Z
dc.date.issued1999
dc.identifier.urihttp://hdl.handle.net/1853/29497
dc.description.abstractWe 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.en
dc.description.sponsorshipPartially supported by NSF grant DMS9803581.en
dc.language.isoen_USen
dc.publisherGeorgia Institute of Technologyen
dc.relation.ispartofseriesCDSNS99-344en
dc.subjectCenter manifolden
dc.subjectGraph transformen
dc.subjectOverflowingen
dc.titleCenter Manifolds for Invariant Setsen
dc.typePre-printen
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mathematics
dc.contributor.corporatenameNational University of Singapore. Dept. of Mathematics
dc.contributor.corporatenameUniversity of Missouri--Columbia. Dept. of Mathematics


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