Dynamical Systems with Applications Using Mathematica®

  • Stephen Lynch

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Stephen Lynch
    Pages 1-15
  3. Stephen Lynch
    Pages 17-44
  4. Stephen Lynch
    Pages 45-72
  5. Stephen Lynch
    Pages 73-87
  6. Stephen Lynch
    Pages 89-117
  7. Stephen Lynch
    Pages 135-153
  8. Stephen Lynch
    Pages 209-230
  9. Stephen Lynch
    Pages 257-283
  10. Stephen Lynch
    Pages 285-304
  11. Stephen Lynch
    Pages 305-338
  12. Stephen Lynch
    Pages 339-351
  13. Stephen Lynch
    Pages 353-380
  14. Stephen Lynch
    Pages 381-415
  15. Stephen Lynch
    Pages 429-451
  16. Stephen Lynch
    Pages 453-484
  17. Stephen Lynch
    Pages 485-507
  18. Stephen Lynch
    Pages 509-522
  19. Stephen Lynch
    Pages 523-545
  20. Stephen Lynch
    Pages 547-574
  21. Back Matter
    Pages 575-585

About this book


This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite. Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. The book begins with an efficient tutorial introduction to Mathematica, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at:

The author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum, though references are included for the inquisitive reader. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many of the chapters are especially useful as reference material for senior undergraduate independent project work. New to the second edition:

Since the first printing of this book in 2007, Mathematica has evolved from version 6.0 to version 11.2 in 2017. Accordingly, the second edition has been thoroughly updated and new material has been added. There are many more applications, examples and exercises, all with solutions, and new sections on series solutions of ordinary differential equations and Newton fractals, have been added. There are also new chapters on delay differential equations, image processing, binary oscillator computing, and simulation with Wolfram SystemModeler. Praise for the first edition:

“[This book’s] content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the first place.”

—Dynamical Systems Magazine

“This book presents an original, cheap and powerful solution to the problem of analysis of large data sets.”

—Studia Universitatis Babes’-Bolyai Mathematica

“The one-liner programs come to life when typed in, and the growing programming skill lends itself to inventing [one's] own extensions to the supplied problems.”

—Datafile, The Journal of the HPCC


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

Authors and affiliations

  • Stephen Lynch
    • 1
  1. 1.School of Computing, Mathematics and Digital TechnologyManchester Metropolitan UniversityManchesterUnited Kingdom

Bibliographic information