Dynamical Systems with Applications using MATLAB®

  • Stephen Lynch

Table of contents

  1. Front Matter
    Pages i-xv
  2. Stephen Lynch
    Pages 1-14
  3. Stephen Lynch
    Pages 15-32
  4. Stephen Lynch
    Pages 33-65
  5. Stephen Lynch
    Pages 67-78
  6. Stephen Lynch
    Pages 107-138
  7. Stephen Lynch
    Pages 139-150
  8. Stephen Lynch
    Pages 151-178
  9. Stephen Lynch
    Pages 179-205
  10. Stephen Lynch
    Pages 207-221
  11. Stephen Lynch
    Pages 223-247
  12. Stephen Lynch
    Pages 265-282
  13. Stephen Lynch
    Pages 335-354
  14. Stephen Lynch
    Pages 377-411
  15. Stephen Lynch
    Pages 413-434
  16. Stephen Lynch
    Pages 435-455
  17. Stephen Lynch
    Pages 457-467
  18. Stephen Lynch
    Pages 469-479
  19. Stephen Lynch
    Pages 481-504
  20. Back Matter
    Pages 505-514

About this book


This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox™, and the Symbolic Math Toolbox™, including MuPAD.


Features new to the second edition include


·         sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization;

·         chapters on image processing and binary oscillator computing;

·         hundreds of new illustrations, examples, and exercises with solutions; and

·         over eighty up-to-date MATLAB® program files and Simulink model files available online. These files were voted MATLAB® Central Pick of the Week in July 2013.


The hands-on approach of Dynamical Systems with Applications using MATLAB®, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics.




Praise for the first edition


Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing.

 OR News/Operations Research Spectrum


The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes…. I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering.



Groebner bases MATLAB MuPad SIMULINK chaos control and synchronization dynamical systems image processing mathematical methods in engineering mathematical modeling normal forms ordinary differential equations perturbation

Authors and affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan University School of Computing, Mathematics & Digital TechnologyManchesterUnited Kingdom

Bibliographic information