Authors:
Interdisciplinary approach to multiple time scale dynamics
Includes many exercises and direct transition to research-level questions
Links different mathematical areas and different viewpoints
Highly illustrated
Part of the book series: Applied Mathematical Sciences (AMS, volume 191)
Buying options
This is a preview of subscription content, access via your institution.
Table of contents (20 chapters)
-
Front Matter
About this book
Keywords
- Bifurcations
- Canards
- Fast-Slow Systems
- Geometric Singular Perturbation Theory
- Invariant Manifolds
- Mixed-mode Oscillations
- Multiple Time Scales
- Normal Hyperbolicity
- ordinary differential equations
Reviews
“It merges a wide variety of different mathematical techniques into a more unified framework. … this is a very interesting introduction to multiscale dynamics which will be of much assistance to both students and researchers. The target audience of this book is senior undergraduates and graduate students as well as researchers interested in using the theory of multiple time scale dynamics in nonlinear science, either from a theoretical or a mathematical modeling perspective.” (Tewfik Sari, Mathematical Reviews, May, 2016)
“This interesting monograph is a self-contained, coherent overview of the backgrounds and progress of the dynamical systems with multiple time scales. … The book contains excellent mathematics and is a well-written and unique source of information on the multiple time scale dynamics. I highly recommend it to all researchers and graduate students who would like to understand the geometric singular perturbation theory.” (Robert Vrabel, zbMATH 1335.34001, 2016)
Authors and Affiliations
-
Institute for Analysis and SC and Scientific Computing, Vienna University of Technology, Vienna, Austria
Christian Kuehn
About the author
Bibliographic Information
Book Title: Multiple Time Scale Dynamics
Authors: Christian Kuehn
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-319-12316-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-12315-8Published: 06 March 2015
Softcover ISBN: 978-3-319-34417-1Published: 05 October 2016
eBook ISBN: 978-3-319-12316-5Published: 25 February 2015
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XIII, 814
Number of Illustrations: 148 b/w illustrations, 48 illustrations in colour
Topics: Dynamical Systems, Theoretical, Mathematical and Computational Physics, Computational Mathematics and Numerical Analysis, Differential Equations, Probability Theory