| dc.contributor.author | Li, Yong | |
| dc.contributor.author | Yi, Yingfei | |
| dc.date.accessioned | 2009-08-10T17:56:31Z | |
| dc.date.available | 2009-08-10T17:56:31Z | |
| dc.date.issued | 1999 | |
| dc.identifier.uri | http://hdl.handle.net/1853/29496 | |
| dc.description | 1991 Mathematics Subject Classification. Primary 58F05, 58F27, 58F30. | en |
| dc.description.abstract | We 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.sponsorship | The 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.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | CDSNS99-345 | en |
| dc.subject | Hamiltonian systems | en |
| dc.subject | KAM theory | en |
| dc.subject | Normal form | en |
| dc.subject | Persistence | en |
| dc.subject | Invariant tori | en |
| dc.subject | Poincaré theorem | en |
| dc.subject | Quasi-linear scheme | en |
| dc.subject | Resonant surface | en |
| dc.title | A Quasi-Periodic Poincaré's Theorem | en |
| dc.type | Pre-print | en |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Mathematics | |
| dc.contributor.corporatename | Jilin University. Dept. of Mathematics | |
