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Dynamical Systems with Applications using Mathematica®

  • Stephen Lynch

Table of contents

  1. Front Matter
    Pages I-XV
  2. Stephen Lynch
    Pages 1-15
  3. Stephen Lynch
    Pages 17-39
  4. Stephen Lynch
    Pages 41-68
  5. Stephen Lynch
    Pages 69-83
  6. Stephen Lynch
    Pages 85-109
  7. Stephen Lynch
    Pages 127-143
  8. Stephen Lynch
    Pages 195-215
  9. Stephen Lynch
    Pages 241-259
  10. Stephen Lynch
    Pages 261-292
  11. Stephen Lynch
    Pages 293-303
  12. Stephen Lynch
    Pages 305-330
  13. Stephen Lynch
    Pages 331-361
  14. Stephen Lynch
    Pages 363-385
  15. Stephen Lynch
    Pages 387-419
  16. Stephen Lynch
    Pages 421-427
  17. Stephen Lynch
    Pages 429-449
  18. Back Matter
    Pages 451-484

About this book

Introduction

Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks.

Mathematica’s symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/.

Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the author’s own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work.

The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work.

Also by the author:

Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8

Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4

 

 

Keywords

Chaos MATLAB Maple Mathematica computer algebra computer-aided design (CAD) electromagnetic wave electronics kinetics mechanics stability

Authors and affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchester M1 5GDUnited Kingdom

Bibliographic information