Dynamic Mode Decomposition
Data-Driven Modeling of Complex Systems
£59.99
- Authors:
- J. Nathan Kutz, University of Washington
- Steven L. Brunton, University of Washington
- Bingni W. Brunton, University of Washington
- Joshua L. Proctor, Institute for Disease Modeling
- Date Published: January 2017
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9781611974492
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Data-driven dynamical systems is a burgeoning field, connecting how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is the first book to address the DMD algorithm and present a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development. By blending theoretical development, example codes, and applications, the theory and its many innovations and uses are showcased. The efficacy of the DMD algorithm is shown through the inclusion of example problems from engineering, physical sciences, and biological sciences, and the authors provide extensive MATLAB® code, data for intuitive examples of key methods, and graphical presentations. This book can therefore be used in courses that integrate data analysis with dynamical systems, and will be a useful resource for engineers and applied mathematicians.
Read more- Highlights the numerous innovations around the DMD algorithm
- Blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses
- Provides data for intuitive examples of key methods, extensive MATLAB® code, and graphical presentations
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×Product details
- Date Published: January 2017
- format: Paperback
- isbn: 9781611974492
- length: 248 pages
- dimensions: 255 x 177 x 16 mm
- weight: 0.55kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface
Notation
Acronyms
1. Dynamic mode decomposition: an introduction
2. Fluid dynamics
3. Koopman analysis
4. Video processing
5. Multiresolution DMD
6. DMD with control
7. Delay coordinates, ERA, and hidden Markov models
8. Noise and power
9. Sparsity and DMD
10. DMD on nonlinear observables
11. Epidemiology
12. Neuroscience
13. Financial trading
Glossary
Bibliography
Index.
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