dov
Newsgroups: comp.theory.dynamic-sys
Subject: Re: Chaos Programs by Holden and Muhamad
From: dov@menora.weizmann.ac.il (Dov Grobgeld)
Date: Sun, 13 Sep 1992 06:49:37 GMT
Organization: Weizmann Institute of Science, Computation Center.
X-Newsreader: Tin 1.1 PL4

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"              | |   | |
                                                       _| |_ _| |_