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dc.contributor.authorLi, Yong
dc.contributor.authorYi, Yingfei
dc.date.accessioned2009-08-10T17:56:31Z
dc.date.available2009-08-10T17:56:31Z
dc.date.issued1999
dc.identifier.urihttp://hdl.handle.net/1853/29496
dc.description1991 Mathematics Subject Classification. Primary 58F05, 58F27, 58F30.en
dc.description.abstractWe study the persistence of invariant tori on resonant surfaces of a nearly integrable Hamiltonian system under the usual Kolmogorov non-degenerate condition. By introducing a quasi-linear iterative scheme to deal with small divisors, we generalize the Poincaré theorem on the maximal resonance case (i.e., the periodic case) to the general resonance case (i.e., the quasi-periodic case) by showing the persistence of majority of invariant tori associated to non-degenerate relative equilibria on any resonant surface.en
dc.description.sponsorshipThe first author was partially supported by NSFC grant 19971042, the National 973 Project of China: Nonlinearity, and the outstanding youth project of the Ministry of Education of China. The second author was partially supported by NSF grant DMS9803581.en
dc.language.isoen_USen
dc.publisherGeorgia Institute of Technologyen
dc.relation.ispartofseriesCDSNS99-345en
dc.subjectHamiltonian systemsen
dc.subjectKAM theoryen
dc.subjectNormal formen
dc.subjectPersistenceen
dc.subjectInvariant torien
dc.subjectPoincaré theoremen
dc.subjectQuasi-linear schemeen
dc.subjectResonant surfaceen
dc.titleA Quasi-Periodic Poincaré's Theoremen
dc.typePre-printen
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mathematics
dc.contributor.corporatenameJilin University. Dept. of Mathematics


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