"Dynamical Systems with Applications using MATLAB" covers standard material for an introduction to dynamical systems theory. The text deals with both discrete and continuous systems.
There are applications in mechanical systems, chemical kinetics, electric circuits, interacting species, economics, nonlinear optics, biology, neural networks and materials science, for example.
These MATLAB programs have been written to supplement the textbook, and give the reader a real hands-on experience.
The text is aimed at senior undergraduates, graduate students, and working scientists in industry.
The book has been published by Birkhauser in July 2004. The second edition was published in 2014.
Table of Contents of the book, mock exam papers and MATLAB index file can be found in Lynch_R2015b.zip.
Stephen Lynch (2023). Dynamical Systems with Applications using MATLAB (https://www.mathworks.com/matlabcentral/fileexchange/2374-dynamical-systems-with-applications-using-matlab), MATLAB Central File Exchange. Retrieved .
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Updated for R2015b.
Updated M-Files for R2011a and added two mock MATLAB-based examination papers to be sat in a computer laboratory.
Tidy up files.
MATLAB R2009b files for the book "Dynamical Systems with Applications using MATLAB". I am working on a second edition of the book!
Add files Program_2g for computing the Lyapunov exponents of the Henon map and Simulink_10, demonstrating generalized chaotic synchronization. All files work under R2008a.