An Introduction to Infinite Dimensional Dynamical Systems — Geometric Theory

✍ Scribed by Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva (auth.)

Publisher: Springer New York
Year: 1984
Tongue: English
Leaves: 203
Series: Applied Mathematical Sciences 47
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages N2-vii
Introduction....Pages 1-6
Retarded Functional Differential Equations on Manifolds....Pages 7-12
Examples of Retarded Functional Differential Equations on Manifolds....Pages 13-23
Generic Properties. The Theorem of Kupka-Smale....Pages 24-42
Invariant Sets, Limit Sets and the Attractor....Pages 43-55
The Dimension of the Attractor....Pages 56-68
Attractor Sets as C 1 -Manifolds....Pages 69-84
Stability Relative to A(F) and Bifurcation....Pages 85-99
Compactification at Infinity....Pages 100-110
Stability of Morse-Smale Maps....Pages 111-139
Bibliographical Notes....Pages 140-142
Back Matter....Pages 143-196

✦ Subjects

Analysis

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