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Dynamical Systems with Applications using MATLAB

version (409 KB) by Stephen Lynch
Companion Software.


Updated 30 Jan 2016

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"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

Cite As

Stephen Lynch (2021). Dynamical Systems with Applications using MATLAB (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (47)

Amitava Biswas


Thank you very much. Could you please give me the M.files for silmulink 10

Mehmet Seren Korkmaz

Thank you very much

Isaías Córdova

thank you very much


Thank you very much!

Grace Kevin

Thank U very much!!!it is useful!

George Effanga

It is just what a nonlinear dynamics investigator needs!

dziri akader

thank you very much sir.

Manashita Borah

The code has been very helpful. Especially the program 13d for calculating Lyapunov exponents. How can I use the code for finding the Lyapunov exponents of a fractional order Lorenz chaotic system of order say 0.85? I tried replacing the fcn_integrator (FDE solver) by fde12 but errors come up. Please help

James Adams

Excellent set of programs. Has helped to bring the unit to life.

Will Campbell

Ruben Ortiz

como descargo el archivo?

zhu zhu


Luca Fenu

Great. thanks a lot for this very useful young lady's primer (:-))...


very good

Mohsin Shah

how can i get the book?

Ben Nuttall

Very useful set of files.


Very useful material


roshan kumar

no comments

j paolo

very good

Lp Lp

I can not use the simulink file,the working windows is always blank.

Budi Sulistyo

For "program 2a", there are some mistakes which cause inefficiency in simulating Tent Map, here they are: the program iterates tent Map for nmax iteration, but the program only uses nmax/2 iteration when plotting the result.

bozidar zeljezic

Quan-Xing Liu

Very good!

Bedassa Cheneka

dom walker


Travi therou


yakup eraslan

jose ramos

bueno, para aprender caos y fractales en MATLAB

hamed nozari

jao walker


Andres Pantoja

Garin Añaños

low dimensional dynamical system and chaos

Liu qian

so good

ehab adel

thx fore this service

Weiyan Gong

Jaz Patel

V. good

msm saad

yousef natsheh

its good

saeed ghavami

Nicoara Dumitru

R Garvey

Excellent book. Easy to use files. Lots and lots of applications.

R Garvey

Excellent book. Easy to use files. Lots and lots of applications.

user 2048

Does NOT include contents of book, despite what the description implies.

Harrison S

goes well with the book!

MATLAB Release Compatibility
Created with R2015b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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