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Center manifolds for smooth invariant manifolds
dc.contributor.author | Chow, Shui-Nee | |
dc.contributor.author | Liu, Weishi | |
dc.contributor.author | Yi, Yingfei | |
dc.date.accessioned | 2015-03-03T21:04:23Z | |
dc.date.available | 2015-03-03T21:04:23Z | |
dc.date.issued | 2000-06-27 | |
dc.identifier.citation | Chow, 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.uri | http://hdl.handle.net/1808/16948 | |
dc.description | This 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.abstract | We 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.publisher | American Mathematical Society | en_US |
dc.subject | Center manifold | en_US |
dc.subject | graph transform | en_US |
dc.subject | overflowing | en_US |
dc.title | Center manifolds for smooth invariant manifolds | en_US |
dc.type | Article | |
kusw.kuauthor | Liu, Weishi | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1090/S0002-9947-00-02443-0 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |