An Introduction to Infinite Dimensional Dynamical Systems — Geometric Theory:
Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Hale, Jack K. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: New York, NY Springer New York 1984
Schriftenreihe:Applied Mathematical Sciences 47
Schlagworte:
Online-Zugang:Volltext
Beschreibung:The motivation for writing these notes came from a series of lectures of the third author on retarded functional differential equations at the Lefschetz Center for Dynamical Systems of the Division of Applied Mathematics at Brown University during the spring of 1982. Partial financial support was obtained from the Air Force Office of Scientific Research, AF-AFOSR 81- 0198, National Science Foundation, MCS 79-05774-05, U. S. Army Research Office, DAAG-29-79-C-016l, Instituto Nacional de Investiga~ao Cientifica, Portugal, Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), Proc. No. 40. 3278/81, Fapesp and Reitoria da Universidade de Sao Paulo, Brasil. The authors appreciate the efforts of Dorothy Libutti, Katherine MacDougall, and Nancy Gancz for the preparation of the manuscript. Contents 1. Introduction 1 2. Retarded Functional Differential Equations on Manifolds 7 3. Examples of Retarded Functional Differential Equations on Manifolds 13 4. Generic Properties. The Theorem of Kupka-Smale 24 5. Invariant Sets, Limit Sets and the Attractor 43 6. The Dimension of the Attractor 56 7. Attractor Sets as Cl-Manifolds 69 8. Stability Relative to A(F) and Bifurcation 85 9. Cornpactification at Infinity 100 10. Stability of Morse-Smale Maps III 11. Bibliographical Notes 140 References 143 Appendix - An Introduction to Homotopy Index Theory in Noncornpact Spaces 147 References for Appendix 191 Subject Index 193 1
Beschreibung:1 Online-Ressource (VII, 196 p)
ISBN:9781475744934
9780387909318
ISSN:0066-5452
DOI:10.1007/978-1-4757-4493-4

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Volltext öffnen