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Dynamics in infinite dimensions

Author: Jack K Hale; Luis T Magalhães; Waldyr M Oliva
Publisher: New York : Springer, ©2002.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 47.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jack K Hale; Luis T Magalhães; Waldyr M Oliva
ISBN: 0387954635 9780387954639
OCLC Number: 49326990
Notes: Revised edition of: Introduction to infinite dimensional dynamical system--geometric theory. c1984.
Description: viii, 280 pages ; 25 cm.
Contents: 1. Introduction --
2. Invariant sets and attractors --
3. Functional differential equations on manifolds --
4. The dimension of the attractor --
5. Stability and bifurcation --
6. Stability of Morse-Smale maps and semiflows --
7. One-to-oneness, persistence, and hyperbolicity --
8. Realization of vector fields and normal forms --
9. Attractor sets as C¹-manifolds --
10. Monotonicity --
11. The Kupka-Smale theorem --
A. Conley index theory in noncompact spaces.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 47.
Responsibility: Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva.
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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 Read more...

 
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