Dynamics in Infinite Dimensions
Seiten
2002
|
2nd ed. 2002
Springer-Verlag New York Inc.
978-0-387-95463-9 (ISBN)
Springer-Verlag New York Inc.
978-0-387-95463-9 (ISBN)
Presents aspects of a geometric theory of infinite dimensional spaces with emphasis on retarded functional differential equations. This book contains results on Morse-Smale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, and more.
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.
| Reihe/Serie | Applied Mathematical Sciences ; 47 |
|---|---|
| Zusatzinfo | VIII, 282 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-387-95463-5 / 0387954635 |
| ISBN-13 | 978-0-387-95463-9 / 9780387954639 |
| Zustand | Neuware |
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