Description

This book 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 a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given.

Smooth Invariant Manifolds And Normal Forms

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Hardback by Alexander Kopanskii , Idel U Bronstein

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This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 01/12/1994
    ISBN13: 9789810215729, 978-9810215729
    ISBN10: 981021572X

    Number of Pages: 396

    Non Fiction , Technology, Engineering & Agriculture , Education

    Description

    This book 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 a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given.

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