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OverviewSince the early 1970s, mathematicians have tried to extend the work of N.Fenichel and M.Hirsch, C.Pugh and M.Shub to give conditions under which invariant manifolds for semi-flows persist under perturbation of the semiflow. This work provides natural conditions and establishes the desired theorem. The technique is geometric in nature, and in addition to rigorous proofs, an informal outline of the approach is given with useful illustrations. Full Product DetailsAuthor: Peter W. Bates , etc. , Kening Lu , Chongchun ZengPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 645 Weight: 0.260kg ISBN: 9780821808689ISBN 10: 0821808680 Pages: 129 Publication Date: 30 August 1998 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Notation and preliminaries Statements of theorems Local coordinate systems Cone lemmas Center-unstable manifold Center-stable manifold Smoothness of center-stable manifold Smoothness of center-unstable manifold Persistence of invariant manifold Persistence of normal hyperbolicity Invariant manifolds for perturbed semiflow References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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