Dynamics in Infinite Dimensions

2. Auflage 2002
ISBN: 978-0-387-95463-9
Verlag: Springer

Buch, Englisch, Band 47, 282 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1310 g

Reihe: Applied Mathematical Sciences

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

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Hale, Jack K.

Oliva, Waldyr

Magalhaes, Luis T.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.