Authors:
- Obtains new results on the characterization of global attractors for processes and their perturbations
- An up-to-date summary of the field
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 182)
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Table of contents (16 chapters)
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Front Matter
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Invariant manifolds of hyperbolic solutions
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Front Matter
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Applications
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Front Matter
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About this book
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence.
The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
Reviews
From the reviews:
“The Carvalho, Langa and Robinson monograph focuses primarily on infinite-dimensional systems and evolution equations. … The monograph is suitable for graduate students with a background on functional analysis and evolution equations. … Carvalho, Langa and Robinson present a readable and thorough account of the current state of the theory, which provides the reader with ready access to an area that has considerable potential for further development.” (Peter E. Kloeden, Mathematical Reviews, July, 2013)
“This monograph not only summarizes the research of the authors over the last decade, but also provides an accessible and well-written approach to the recent theory of non-autonomous dynamical systems in infinite dimensions with a focus on corresponding attractors and invariant manifolds. … This book is a well-written and carefully prepared text appropriate for advanced classes on dynamical systems and seminars.” (Christian Pötzsche, Zentralblatt MATH, Vol. 1263, 2013)Authors and Affiliations
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Universidade de São Paulo, Instituto de Ciências Matemáticas e de C, São Carlos SP, Brazil
Alexandre N. Carvalho
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, Dpto. EDAN, Universidad de Sevilla, Seville, Spain
José A. Langa
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Mathematics Institute, University of Warwick, Coventry, United Kingdom
James C. Robinson
About the authors
Bibliographic Information
Book Title: Attractors for infinite-dimensional non-autonomous dynamical systems
Authors: Alexandre N. Carvalho, José A. Langa, James C. Robinson
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4614-4581-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2013
Hardcover ISBN: 978-1-4614-4580-7Published: 26 September 2012
Softcover ISBN: 978-1-4899-9176-8Published: 15 October 2014
eBook ISBN: 978-1-4614-4581-4Published: 25 September 2012
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XXXVI, 412
Topics: Partial Differential Equations, Dynamical Systems and Ergodic Theory, Manifolds and Cell Complexes (incl. Diff.Topology)