Dynamics in Infinite Dimensions

Author:   Jack K. Hale ,  Luis T. Magalhaes ,  Waldyr Oliva
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 2nd ed. 2002
Volume:   47
ISBN:  

9781441930125


Pages:   282
Publication Date:   03 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Dynamics in Infinite Dimensions


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Overview

State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications

Full Product Details

Author:   Jack K. Hale ,  Luis T. Magalhaes ,  Waldyr Oliva
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 2nd ed. 2002
Volume:   47
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.910kg
ISBN:  

9781441930125


ISBN 10:   1441930124
Pages:   282
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
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

Invariant Sets and Attractors.- Functional Differential Equations on Manifolds.- The Dimension of the Attractor.- Stability and Bifurcation.- Stability of Morse-Smale Maps and Semiflows.- One-to-Oneness, Persistence, and Hyperbolicity.- Realization of Vector Fields and Normal Forms.- Attractor Sets as C1-Manifolds.- Monotonicity.- The Kupka-Smale Theorem.- A An Introduction to the Conley Index Theory in Noncompact Spaces.

Reviews

From the reviews of the second edition: This book presents a contemporary geometric theory of infinite-dimensional dynamical systems where the major emphasis is on retarded functional-differential equations. ! Each chapter contains some abstract theorems but the authors give some examples as well illustrating these general results and having interesting applications. ! This interesting book will be useful for researchers working in this field and, due to numerous examples, also for mathematicians working in applications. (Sergei A. Vakulenko, Mathematical Reviews, 2004 j) The first book, like the present one, is to a large extent devoted to functional differential equations. ! The present editions of chapters that appeared in the first book, Invariant sets and attractors, Functional differential equations on manifolds, The dimension of the attractor, Attractor sets as C1-manifolds, The Kupka-Smale theorem, Conley index in noncompact spaces, are up-dated and contain additional examples. As the first book of the authors, the present one will be of interest and will be useful to a broad group of readers. (Peter Polacik, Zentralblatt MATH, Vol. 1002 (2), 2003)


From the reviews of the second edition: This book presents a contemporary geometric theory of infinite-dimensional dynamical systems where the major emphasis is on retarded functional-differential equations. ! Each chapter contains some abstract theorems but the authors give some examples as well illustrating these general results and having interesting applications. ! This interesting book will be useful for researchers working in this field and, due to numerous examples, also for mathematicians working in applications. (Sergei A. Vakulenko, Mathematical Reviews, 2004 j) The first book, like the present one, is to a large extent devoted to functional differential equations. ! The present editions of chapters that appeared in the first book, Invariant sets and attractors, Functional differential equations on manifolds, The dimension of the attractor, Attractor sets as C1-manifolds, The Kupka-Smale theorem, Conley index in noncompact spaces, are up-dated and contain additional examples. As the first book of the authors, the present one will be of interest and will be useful to a broad group of readers. (Peter Polacik, Zentralblatt MATH, Vol. 1002 (2), 2003)


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