Smooth Invariant Manifolds And Normal Forms
Author:   Alexander Kopanskii (Acad Of Sci, Moldova) ,  Idel U Bronstein (Acad Of Sci, Moldova)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   7
ISBN:  

9789810215729


Pages:   396
Publication Date:   01 December 1994
Format:   Hardback
Availability:   In Print   Availability explained
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Smooth Invariant Manifolds And Normal Forms


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Overview

This 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 Details

Author:   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:  

9789810215729


ISBN 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:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Topological 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.

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