Dynamics in Infinite Dimensions

Jack K. Hale, Luis T. Magalhaes, Waldyr Oliva (Autoren)

Buch | Softcover

282 Seiten

2010 | Second Edition 2002
Springer-Verlag New York Inc.
978-1-4419-3012-5 (ISBN)

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This book presents aspects of a geometric theory of infinite dimensional spaces with major emphasis on retarded functional differential equations. It contains results on Morse-Smale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms.

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.

Erscheint lt. Verlag	3.12.2010
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
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4419-3012-4 / 1441930124
ISBN-13	978-1-4419-3012-5 / 9781441930125
Zustand	Neuware