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Thread View: comp.theory.dynamic-sys
4 messages
4 total messages Started by Dana Paxson Fri, 11 Sep 1992 13:44
Chaos Programs by Holden and Muhamad
#22
Author: Dana Paxson
Date: Fri, 11 Sep 1992 13:44
46 lines
2154 bytes
I am trying to track down some software written to illustrate chaotic
behavior as described in the book CHAOS, edited by Arun V. Holden,
copyright Manchester University Press 1986, published in the USA by
Princeton University Press.  There is a note facing the inner title
page:

	"A suite of programs by M. A. Muhamad and A. V. Holden that
	illustrate chaotic behavior in maps and in differential
	systems is available to accompany this book:  these programs
	are available only on 40- or 80-track 5.25" discs for the 
	Acorn BBC-B computer.  

	 Maps of the real line, the plane and the complex plane, with
	their associated bifurcation diagrams, strange attractors and
	Julia sets, are presented.  Trajectories, strange attractors,
	and reconstructed strange attractors are presented for
	nonlinear differential systems and forced systems described in
	Chapter 2: by changing the parameters of the equations the
	routes into chaos may be followed.

	 Further information from: Chaos and Strange Attractors,
	Manchester University Press (Software), Oxford Road,
	Manchester M13 9PL, UK."

Before I plunge off to the post office with letter in hand, I would
like to find out:

1)	Whether these programs or more modern transformations of them
	are available via Internet;

2)	Whether the authors use Internet;

3)	What other such tools may be available;

4)	Whether this is the right place to post this request.

Thanks,

Dana Paxson
Network Applications Systems Group
Northern Telecom			Phone:		1 716 654-2588
97 Humboldt Street			Internet:	dwp@cci.com
Rochester, New York  14609		CompuServe:	71201,2213

Disclaimer:  Any opinions expressed above are mine personally, and do 
	     not necessarily reflect the views of my employer.
Re: Chaos Programs by Holden and Muhamad
#23
Author: Vittaldas Prabhu
Date: Fri, 11 Sep 1992 18:45
9 lines
724 bytes
It may be worth while to look at Proceeding of IEEE, Aug 1987,
which was a special issue on Chaotic Systems. There is paper
"INSITE - A Software Toolkit for analysis of nonlinear systems"
by T.S.Parker and L.O.Chua.

Sorry, I have not used it.

vittal
Re: Chaos Programs by Holden and Muhamad
#26
Author: Maynard Wilcox
Date: Sun, 13 Sep 1992 01:58
20 lines
1267 bytes
In article <1992Sep11.134420.19454@cci632.cci.com> dwp@cci632.cci.com (Dana Paxson) writes:
>I am trying to track down some software written to illustrate chaotic
>behavior as described in the book CHAOS, edited by Arun V. Holden,
>copyright Manchester University Press 1986, published in the USA by
>
>
>3)	What other such tools may be available;
>
>4)	Whether this is the right place to post this request.
>
 In answer :
 Differential and Difference Equations through Computer Experiments
    with Diskette containing PHASER ( an animator/simulator for
    Dynamical systems for IBM personal computers )
 by Huseyin Kocak      2nd Edition  copyright 1986,1989
 from Springer-Verlag  ISBN 3-540-96918-7 



and yes :-)
Re: Chaos Programs by Holden and Muhamad
#25
Author: Dov Grobgeld
Date: Sun, 13 Sep 1992 06:49
77 lines
3847 bytes
dwp@cci632.cci.com (Dana Paxson) writes:
: I am trying to track down some software written to illustrate chaotic
: behavior as described in the book CHAOS, edited by Arun V. Holden,
: copyright Manchester University Press 1986, published in the USA by
: Princeton University Press.  There is a note facing the inner title
: page:
:

: 	"A suite of programs by M. A. Muhamad and A. V. Holden that
: 	illustrate chaotic behavior in maps and in differential
: 	systems is available to accompany this book:  these programs
: 	are available only on 40- or 80-track 5.25" discs for the
: 	Acorn BBC-B computer.
:
: 	 Maps of the real line, the plane and the complex plane, with
: 	their associated bifurcation diagrams, strange attractors and
: 	Julia sets, are presented.  Trajectories, strange attractors,
: 	and reconstructed strange attractors are presented for
: 	nonlinear differential systems and forced systems described in
: 	Chapter 2: by changing the parameters of the equations the
: 	routes into chaos may be followed.
:
: 	 Further information from: Chaos and Strange Attractors,
: 	Manchester University Press (Software), Oxford Road,
: 	Manchester M13 9PL, UK."
:
: Before I plunge off to the post office with letter in hand, I would
: like to find out:
:
: 1)	Whether these programs or more modern transformations of them
: 	are available via Internet;
:
I have a program called "Chaos" which I ... hmmm .... copied from a friend.
Appearently this program is supposed to be a companion program for the
book Chaos. It runs on PC compatibles. I don't know its system requirements
as I have really never had time to play with it.

Another nice chaos chaos illustration program is FRACTINT, which though
is limited mostly to fractals.

I have myself written a standard map (can be recompiled to include any
other mapping) program for the PC where the initial points are chosen with
the mouse. Any area of the mapping may be zoomed with the mouse. In my last
version I included a "single step" mode, so that it is easy to trace a
trajectory's behaviour in the vicinity of e.g. homoclinic points.

Thinking about it I have also written a driven pendulum program, but I'm
quite sure there are better commercial alternatives for such programs. I
have a version of this program for both the PC and in IDL.

: 2)	Whether the authors use Internet;
:
: 3)	What other such tools may be available;
:
: 4)	Whether this is the right place to post this request.

Sure! :-)

:
: Thanks,
:
: Dana Paxson
: Network Applications Systems Group
: Northern Telecom			Phone:		1 716 654-2588
: 97 Humboldt Street			Internet:	dwp@cci.com
: Rochester, New York  14609		CompuServe:	71201,2213
:
: Disclaimer:  Any opinions expressed above are mine personally, and do
: 	     not necessarily reflect the views of my employer.

--
                                                        ___   ___
                                                      /  o  \   o \
Dov Grobgeld                                         ( o  o  ) o   |
The Weizmann Institute of Science, Israel             \  o  /o  o /
"Where the tree of wisdom carries oranges"              | |   | |
                                                       _| |_ _| |_
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