Mathematical Surveys and Monographs
Volume: 176; 2011; 264 pp; Hardcover
MSC: Primary 37;

Print ISBN: 978-0-8218-6871-3
Product Code: SURV/176
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MAA Member Price: $85.50

Electronic ISBN: 978-1-4704-1403-0
Product Code: SURV/176.E
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Nonautonomous Dynamical Systems

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Peter E. Kloeden; Martin Rasmussen

The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched.

With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

Readership

Graduate students and research mathematicians interested in dynamical systems.

Nonautonomous Dynamical Systems

Base Product Code Keyword List: surv; SURV; surv/176; SURV/176; surv-176; SURV-176

Print Product Code: SURV/176

Online Product Code: SURV/176.E

Title (HTML): Nonautonomous Dynamical Systems

Author(s) (Product display): Peter E. Kloeden; Martin Rasmussen

Affiliation(s) (HTML): Goethe University Frankfurt am Main, Frankfurt, Germany; Imperial College, London, England

Abstract:

Book Series Name: Mathematical Surveys and Monographs

Volume: 176

Publication Month and Year: 2011-08-17

Page Count: 264

Cover Type: Hardcover

Print ISBN-13: 978-0-8218-6871-3

Online ISBN 13: 978-1-4704-1403-0

Print ISSN: 0076-5376

Online ISSN: 0076-5376

Primary MSC: 37

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SXG Subject: DE

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/surv-176

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Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-1403-0&pisbn=978-0-8218-6871-3&epc=SURV/176.E&ppc=SURV/176&title=Nonautonomous%20Dynamical%20Systems&author=Peter%20E.%20Kloeden%3B%20Martin%20Rasmussen&type=R

Readership:

Graduate students and research mathematicians interested in dynamical systems.

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Cover
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Title page
- Title page
Contents
- Contents
Preface
- Preface
Autonomous dynamical systems
- Autonomous dynamical systems
Index
- Index

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Nonautonomous Dynamical Systems

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Table of Contents

Nonautonomous Dynamical Systems

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Cover

Title page

Contents

Preface

Autonomous dynamical systems

Index