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Highlights from
Dynamical Systems with Applications using MATLAB

Program_5c(~) Chapter 5 - Fractals and Multifractals.
Programs_17a Chapter 17 - Neural Networks.
Programs_17b Chapter 17 - Neural Networks.
Programs_17c Chapter 17 - Neural Networks.
[Texp,Lexp]=lyapunov(n,rhs_ex... Chapter 13 - Three-Dimensional Autonomous Systems and Chaos.
sys=Programs_12c(~,x) Chapter 12 - Bifurcations of Nonlinear Systems in the Plane.
vectorfield(deqns,xval,yval,t... Chapter 8 - Planar Systems.
xdot=Programs_14f(t,x) The Duffing System.
Program_0.1.m
Program_0.2.m
Program_1a.m
Program_1b.m
Program_2a.m
Program_2b.m
Program_2c.m
Program_2d.m
Program_2e.m
Program_2f.m
Program_2g.m
Program_3a.m
Program_3b.m
Program_3c.m
Program_4a.m
Program_4b.m
Program_4c.m
Program_5a.m
Program_5b.m
Program_5d.m
Program_5e.m
Program_5f.m
Program_6a.m
Program_6b.m
Program_7a.m
Program_7b.m
Program_7c.m
Program_8b.m
Program_8c.m
Program_9a.m
Program_9b.m
Programs_10b.m
Programs_10c.m
Programs_11a.m
Programs_12a.m
Programs_12b.m
Programs_12d.m
Programs_13a.m
Programs_13b.m
Programs_13c.m
Programs_14a.m
Programs_14b.m
Programs_14c.m
Programs_14d.m
Programs_14e.m
Programs_14g.m
Programs_15a.m
Programs_17d.m
Programs_17e.m
Simulink1
Simulink10
Simulink2
Simulink3
Simulink4
Simulink5
Simulink7
Simulink_10
simlink8
simulink6
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Dynamical Systems with Applications using MATLAB

by Stephen Lynch

13 Sep 2002 (Updated 08 Jun 2011)

Companion Software.

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Description

"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.

Table of Contents of the book (contents.txt) and the M-file and Simulink model file index (index.txt) can be read on Lynch_R2011a.zip.

Required Products

Simulink
Symbolic Math Toolbox

MATLAB release

MATLAB 7.12 (2011a)

Tags for This File
Everyone's Tags	chaos(4), chemical, differential(2), discrete, economics, facts, fractal, fractals(2), mathematics(2), mechanics(2), modeling, multifractal, nonlinear(2), optics(2), physics, research, simulink, synchronization(2)
Tags I've Applied
Add New Tags	Please login to tag files.

Comments and Ratings (35)
01 Dec 2003	Harrison S	goes well with the book!
07 Oct 2004	user 2048	Does NOT include contents of book, despite what the description implies.
10 Oct 2004	R Garvey	Excellent book. Easy to use files. Lots and lots of applications.
10 Oct 2004	R Garvey	Excellent book. Easy to use files. Lots and lots of applications.
25 Jan 2006	Nicoara Dumitru
04 Apr 2006	saeed ghavami
18 Jun 2006	yousef natsheh	its good
05 Aug 2006	msm saad
06 Aug 2006	Jaz Patel	V. good
30 Aug 2006	Weiyan Gong
30 Sep 2006	ehab adel	thx fore this service
30 Nov 2006	Liu qian	so good
04 Dec 2006	Garin Añaños	low dimensional dynamical system and chaos
09 Feb 2007	Andres Pantoja
10 Feb 2007	jao walker	excellent
23 Feb 2007	hamed nozari
06 Jun 2007	jose ramos	bueno, para aprender caos y fractales en MATLAB
09 Jun 2007	yakup eraslan
12 Jul 2007	Travi therou	good
16 Jul 2007	dom walker	excellent
26 Sep 2007	Bedassa Cheneka
24 Oct 2007	Quan-Xing Liu	Very good!
08 Jan 2008	bozidar zeljezic
24 Mar 2008	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.
28 Mar 2008	Lp Lp	I can not use the simulink file,the working windows is always blank.
14 Apr 2008	j paolo	very good
09 Sep 2008	roshan kumar	no comments
17 Feb 2009	Max
29 Sep 2010	Kumaravel	Very useful material
27 Nov 2010	Ben Nuttall	Very useful set of files.
16 Apr 2011	Mohsin Shah	how can i get the book?
04 May 2011	liyin	very good
08 Jun 2011	Luca Fenu	Great. thanks a lot for this very useful young lady's primer (:-))...
13 Jul 2011	zhu zhu	thanks!
26 Jul 2011	Ruben Ortiz	como descargo el archivo?

Please login to add a comment or rating.

Updates
18 Sep 2002	Up-date 18/09/02
24 Sep 2002	Add Chapter 7 M-files.
25 Sep 2002	Up-date 19/09/02
02 Oct 2002	Add phase portrait plotter.
03 Oct 2002	Add a jpeg of a phase portrait.
08 Oct 2002	Modified image size.
17 Oct 2002	Add M-files for Chapters 10 and 11.
23 Oct 2002	Correct Program2d.m
22 Nov 2002	Add M-files for Chapters 12, 13 and 14.
28 May 2003	Complete set of MATLAB files and Simulink files.
03 Jun 2003	Complete set of MATLAB files and Simulink files.
05 Jun 2003	Complete set of MATLAB files and Simulink files.
06 Jun 2003	All M-files, Simulink model files and txt files.
11 Jun 2003	Add a Program Index (Index.m)
29 Oct 2003	Add Simulink Lorenz Model
30 Oct 2003	Add Simulink Lorenz Model (up-date Lynch.zip)
04 Dec 2003	Add Chaos Synchronization (up-date Lynch2004.zip)
18 Dec 2003	Add color Mandelbrot Set. Program_3c.
16 Jan 2004	Update
19 Jan 2004	Update (16/01/04)
13 Feb 2004	Book published in April/May 2004. Sorry for the delay!
04 May 2004	Book published in June 2004. Sorry for the delay!
12 May 2004	Front cover of book.
13 May 2004	Front cover of book.
09 Jun 2004	Book published!
12 Jul 2004	Book available at amazon etc.
07 Oct 2004	Add Programs_13d (Lyapunov exponents of Lorenz) and Programs_15a.
08 Oct 2004	List of Contents of the book is on Lynch2004.zip.
08 Oct 2004	Tidy up files.
08 Feb 2007	Add animation programs: Program_4c.m, Programs_12c.m and Programs12d.m. See the Index.txt file for more information.
09 Feb 2007	Add animations Program_4c.m, Programs_12_c.m and Programs_12d.m.
15 Feb 2007	Add files Program_4c.m, Programs_12c.m and Programs_12d.m. Animations.
22 Sep 2008	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.
22 Sep 2009	MATLAB R2009b files for the book "Dynamical Systems with Applications using MATLAB". I am working on a second edition of the book!
22 Sep 2009	Tidy up files.
08 Jun 2011	Updated M-Files for R2011a and added two mock MATLAB-based examination papers to be sat in a computer laboratory.

Tag Activity for this File
Tag	Applied By	Date/Time
mathematics	Stephen Lynch	22 Oct 2008 06:51:32
discrete	Stephen Lynch	22 Oct 2008 06:51:32
fractals	Stephen Lynch	22 Oct 2008 06:51:32
differential	Stephen Lynch	22 Oct 2008 06:51:32
synchronization	Stephen Lynch	22 Oct 2008 06:51:32
nonlinear	Stephen Lynch	22 Oct 2008 06:51:32
chaos	Stephen Lynch	22 Oct 2008 06:51:32
fractals	moon85 toon	03 Nov 2008 09:54:03
mathematics	Cristina McIntire	07 Nov 2008 13:00:08
simulink	Stephen Lynch	22 Sep 2009 10:48:20
physics	Stephen Lynch	22 Sep 2009 10:48:21
modeling	Stephen Lynch	22 Sep 2009 10:48:21
chaos	omar	18 Nov 2009 10:31:02
facts	ve tech ve	26 Jan 2010 05:14:42
optics	Stephen Lynch	05 Feb 2011 05:01:27
mechanics	Stephen Lynch	05 Feb 2011 05:01:27
chemical	Stephen Lynch	05 Feb 2011 05:01:27
economics	Stephen Lynch	05 Feb 2011 05:01:27
fractal	Stephen Lynch	05 Feb 2011 05:01:27
multifractal	Stephen Lynch	05 Feb 2011 05:02:47
research	Stephen Lynch	05 Feb 2011 05:02:47
mechanics	erkable oruç	10 Jun 2011 14:27:51
chaos	Miguel Angel	11 Jul 2011 03:41:32
chaos	Zheng	14 Oct 2011 10:49:20
differential	Aya	11 Dec 2011 23:26:48
synchronization	Aya	11 Dec 2011 23:26:52
nonlinear	Rafal Kasztelanic	05 Jan 2012 08:43:05
optics	Rafal Kasztelanic	05 Jan 2012 08:43:11

Highlights from Dynamical Systems with Applications using MATLAB

Dynamical Systems with Applications using MATLAB

Highlights from
Dynamical Systems with Applications using MATLAB