Dynamics in Infinite Dimensions von Jack K. Hale | ISBN 9780387954639

Dynamics in Infinite Dimensions

von Jack K. Hale, Luis T. Magalhaes und Waldyr Oliva
Mitwirkende
Autor / AutorinJack K. Hale
Autor / AutorinLuis T. Magalhaes
Autor / AutorinWaldyr Oliva
Buchcover Dynamics in Infinite Dimensions | Jack K. Hale | EAN 9780387954639 | ISBN 0-387-95463-5 | ISBN 978-0-387-95463-9

From the reviews of the second edition:

„This book presents a contemporary geometric theory of infinite-dimensional dynamical systems where the major emphasis is on retarded functional-differential equations. … Each chapter contains some abstract theorems but the authors give some examples as well illustrating these general results and having interesting applications. … This interesting book will be useful for researchers working in this field and, due to numerous examples, also for mathematicians working in applications.“ (Sergei A. Vakulenko, Mathematical Reviews, 2004 j)

„The first book, like the present one, is to a large extent devoted to functional differential equations. … The present editions of chapters that appeared in the first book, Invariant sets and attractors, Functional differential equations on manifolds, The dimension of the attractor, Attractor sets as C1-manifolds, The Kupka-Smale theorem, Conley index in noncompact spaces, are up-dated and contain additional examples. As the first book of the authors, the present one will be of interest and will be useful to a broad group of readers.“ (Peter Polácik, Zentralblatt MATH, Vol. 1002 (2), 2003)

Dynamics in Infinite Dimensions

von Jack K. Hale, Luis T. Magalhaes und Waldyr Oliva
Mitwirkende
Autor / AutorinJack K. Hale
Autor / AutorinLuis T. Magalhaes
Autor / AutorinWaldyr Oliva
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.