Title:
Center Manifolds for Invariant Sets
Center Manifolds for Invariant Sets
| dc.contributor.author | Chow, Shui-Nee | |
| dc.contributor.author | Liu, Weishi | |
| dc.contributor.author | Yi, Yingfei | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Mathematics | |
| dc.contributor.corporatename | National University of Singapore. Dept. of Mathematics | |
| dc.contributor.corporatename | University of Missouri--Columbia. Dept. of Mathematics | |
| dc.date.accessioned | 2009-08-10T19:05:10Z | |
| dc.date.available | 2009-08-10T19:05:10Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | We 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.sponsorship | Partially supported by NSF grant DMS9803581. | en |
| dc.identifier.uri | http://hdl.handle.net/1853/29497 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | CDSNS99-344 | en |
| dc.subject | Center manifold | en |
| dc.subject | Graph transform | en |
| dc.subject | Overflowing | en |
| dc.title | Center Manifolds for Invariant Sets | en |
| dc.type | Text | |
| dc.type.genre | Pre-print | |
| dspace.entity.type | Publication | |
| local.contributor.author | Chow, Shui-Nee | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| relation.isAuthorOfPublication | 184e1861-af72-4c62-b613-54c1d1b7febb | |
| relation.isOrgUnitOfPublication | 85042be6-2d68-4e07-b384-e1f908fae48a | |
| relation.isOrgUnitOfPublication | 84e5d930-8c17-4e24-96cc-63f5ab63da69 |