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OverviewThis volume deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the vicinity of a rest point and periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given. Full Product DetailsAuthor: Alexander Kopanskii (Acad Of Sci, Moldova) , Idel U Bronstein (Acad Of Sci, Moldova)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 7 ISBN: 9789810215729ISBN 10: 981021572 Pages: 396 Publication Date: 01 December 1994 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback 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 ContentsTopological properties of flows and cascades in the vicinity of a rest point and a periodic trajectory; finitely smooth normal forms of vector fields and diffeo-morphisms; linear extensions of dynamical systems; invariant subbundles of weakly non-linear extensions; invariant manifolds; normal forms in the vicinity of an invariant manifold.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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