Dynamics in Infinite Dimensions

• Main Authors: Hale, Jack K. (Author), Magalhães, Luis T. (Author), Oliva, Waldyr M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2002.
• Edition: Second Edition.
• Series: Applied Mathematical Sciences, 47
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Analysis.; Differential Geometry.

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.