Authors:
Comprehensive approach to discrete dynamical systems
Applications to numerical discretizations
Extensive invariant manifold theory
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2002)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- Exponential dichotomy
- Invariant fiber bundles
- Nonautonomous difference equations
- Nonautonomous dynamical systems
- Topological linearization
- difference equation
- dynamical systems
Reviews
From the reviews:
“The book contains detailed information concerning the two-parameter semigroups defined by a quite general class of difference equations. … The Hartman-Grobman theory also receives considerable attention. … this is a well-written book which will be very useful to the reader interested in the topics which it discusses.” (Russell A. Johnson, Mathematical Reviews, Issue 2012 a)
“The monograph is a rich resource for a consistent theory of nonautonomous difference equations, in particular their stability theory and the connection between linear and nonlinear systems. … The reader … who is interested in a thorough course on the theory of difference equations will benefit from this book which combines summaries on the different topics with precise and new results.” (Jörg Härterich, Zentralblatt MATH, Vol. 1247, 2012)
Authors and Affiliations
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Centre for Mathematical Sciences, Munich University of Technology, Garching, Germany
Christian Pötzsche
Bibliographic Information
Book Title: Geometric Theory of Discrete Nonautonomous Dynamical Systems
Authors: Christian Pötzsche
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-14258-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-14257-4Published: 18 September 2010
eBook ISBN: 978-3-642-14258-1Published: 24 August 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXIV, 399
Number of Illustrations: 15 b/w illustrations, 2 illustrations in colour
Topics: Dynamical Systems