Overview
- Designed for a broad audience of students in applied mathematics, physics, and engineering
- Represents dynamical systems with popular Python libraries like sympy, numpy, and matplotlib
- Explores a variety of advanced topics in dynamical systems, like neural networks, fractals, and nonlinear optics, at an undergraduate level
- Includes supplementary material: sn.pub/extras
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Table of contents (23 chapters)
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Front Matter
Keywords
About this book
After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions.
This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.
Reviews
“This book is meant as an upper level undergraduate or graduate text in dynamical systems. … this is an attractive text, one that I wish I had access to when I was learning dynamical systems, and one that I would be glad to teach from.” (John Starrett, MAA Reviews, July 28, 2019)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Dynamical Systems with Applications using Python
Authors: Stephen Lynch
DOI: https://doi.org/10.1007/978-3-319-78145-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-78144-0Published: 20 October 2018
Softcover ISBN: 978-3-030-08624-4Published: 08 February 2019
eBook ISBN: 978-3-319-78145-7Published: 09 October 2018
Edition Number: 1
Number of Pages: XVI, 665
Number of Illustrations: 159 b/w illustrations, 118 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Complex Systems, Ordinary Differential Equations, Mathematical and Computational Engineering, Applications of Mathematics, Statistical Physics and Dynamical Systems