Smooth Invariant Manifolds And Normal Forms

Idel U Bronstein, Alexander Kopanskii

ISBN 10: 981021572X / ISBN 13: 9789810215729

Published by World Scientific Publishing Co Pte Ltd, SG, 1994

About this Item

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.

Seller Inventory # LU-9789810215729

Bibliographic Details

• Title: Smooth Invariant Manifolds And Normal Forms
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 1994
• Language: English
• ISBN 10: 981021572X
• ISBN 13: 9789810215729
• Binding: Hardback
• Condition: New
• Dimensions: 16.51W x 2.54H x 24.77D centimeters 16.51 centimeters width by 2.54 centimeters height by 24.77 centimeters depth

About this title

Synopsis

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.