UK Nonlinear News,
For several years the Universities of Heriot-Watt and Edinburgh have
been running Masterclasses for the brightest mathematics school students
in Lothian Region. The pupils, aged about 13, spend 2 1/2 hrs each
Saturday studying recent developments in Mathematics such as chaos,
fractals, evolutionary games, etc. Some of these classes involve using
purpose-built interactive computer programs to illustrate, for example,
the construction of a fractal curve. We are now beginning to put this
material up on WWW to make it available to a wider audience. Visit our
site at http://www.ma.hw.ac.uk/masterclass/
to see what is available, or email Chris Eilbeck email@example.com
This is to inform that new CONTENT 1.3 is now available by ftp.
CONTENT is a multi-platform interactive environment to study
dynamical systems. It is designed to perform simulation,
continuation, and normal form analysis of dynamical systems
appearing in research and engineering.
1. This version of CONTENT supports:
For iterated maps:
- numerical integration;
- continuation of equilibria and limit cycles;
- detection and normal form analysis of branching, fold and Hopf
bifurcation points for equilibria;
- continuation of fold and Hopf bifurcations;
- detection of codim 2 equilibrium bifurcations (cusp,
Bogdanov-Takens, generalised Hopf, zero-Hopf, and double
- normal form analysis of cusp and Bogdanov-Takens bifurcations;
- continuation of double Hopf bifurcation;
- detection of branching, limit points, flip and torus (NS)
bifurcations of limit cycles;
- branch switching at equilibrium bifurcations (including
switching to the limit cycle ontinuation at Hopf points).
For PDEs on the unit interval:
- continuation of fixed points and cycles;
- detection and normal form analysis of branching and limit
points, flip and torus (NS) bifurcations for fixed points
- branch switching at branching and flip points.
2. CONTENT provides:
- continuation of steady states;
- detection of branching and limit points.
3. How to get CONTENT
- on-line specification and updating of the dynamical systems
- symbolic generation of derivatives of RHS;
- visualisation of the solutions in multiple 2D and 3D graphic
windows, as well as in the numerical form;
- Postscript hardcopy;
- storage, import and export of computed curves in a platform-
- on-line hypertext help with figures;
CONTENT 1.3 is freely available by anonymous ftp from
Here source_file is one of the following:
- cd pub
- cd CONTENT
- get source_file target_file
These files contain binary executables for running on the
corresponding platform (hardware+OS[+complier]), as well as
example dynamical systems.
The target_file is:
Please, follow instructions in the README file to install CONTENT
on your system.
- content.tar.gz for Unix (SGI, Sun, DEC, HP, PC Linux)
- content.zip for MS Windows
4. Software requirements for CONTENT
C and C++ compilers must be accessible via the PATH variable, as
well as the X11, X toolkit and Motif libraries via the
Borland C++ compiler 5.0 must be installed. CONTENT uses only
command line compiler
We wish you success in using CONTENT!
Yuri. A. Kuznetsov and Victor V. Levitin
Dynamical Systems Laboratory
Centrum voor Wiskunde en Informatica
1098 SJ Amsterdam
A shared language based on the new science of complexity can have an
important role in managerial sense making. The use of complexity theory
can change the way managers think about the problems they face. Instead
of competing in a game or a war, managers of a complexity thinking
enterprise are trying to find their way on an ever changing, ever
turbulent landscape. Such a conception of their organisations' basic
task can, in turn, change the day-to-day decisions made by management.
The most productive applications of complexity language have to do with
new possibilities for innovation. These possibilities require new ways
of thinking, but old models of thinking persist long after they are
productive. New ways of thinking don't just happen; they require both
discussion and support.
Our complexity and management mail list carries messages directed to:
- Understanding complexity and complex adaptive systems, such as the
economy, business, and the marketplace,
- Developing techniques for organisations to examine their models,
metaphors, and beliefs, and to adapt new ones as conditions change,
- Creating strategies for businesses to interact with the unexpected,
accidental, and ambiguous in their environments,
- Resolving the needs for both stability and creativity, and the
institutional tensions between "e;authorised"e; and
- Examining individual issues and case studies as they emerge.
Our 500 members range from academics to managers. The list is totally free.
Note this is a busy discussion forum with more than 10 messages each day.
Please see the web archive at
or our lexicon of terms at
Please pass this message on to anyone you feel would be interested -- we
have room for 100 more members.
150 West 56th St #4904 NY NY 10019
The Complexity & Artificial Life Research Concept
The CALResCo web site is
devoted to complexity and non-linear issues. We try to
provide information for newcomers via introductions
and links to tutorials, plus access to relevant technical
papers, applications and online sites.
for Self-Organising Systems
The site can be reached at:
Source: Chris Lucas.
A group at International Sakharov Institute of Radioecology are studying multiphoton excitation of molecules by infrared laser radiation. We try to find
analytic solutions of the dynamic equations using miscellaneous orthogonal polynomials (Gegenbauer, Jacobi, Pollaczek, Laguerre, Meixner, Krawtchouk, Hahn etc.).
For information have a look at: http://www.isir.minsk.by/~zelenkov/physmath.
Source: Vadim Zelenkov (firstname.lastname@example.org).
Friends and Colleagues of Prof. Harry Swinney (University of Texas,
will be saddened to hear of the death of his wife Gloria on 6 October.
Gloria died from a brain tumour. Friends who wish may contribute to the
Brent L. Swinney Youth Fund of the University United Methodist Church
(2409 Guadalupe, Austin 78705) or to the charity of their choice.
Source: Greg King (email@example.com).
Please send your email address to Dr. Greg King (firstname.lastname@example.org) and give a short
description of your interest or research in this area. If you are willing
to either organise or help organise a 1 - 3 day UK workshop on this topic,
Source: Greg King (email@example.com).
The new book From Calculus to Chaos has just been published by Oxford University Press (paperback price
As the title implies, it has quite a wide range, and is intended
for a very wide readership, but it does contain some introductory
material on nonlinear systems, together with some novice-friendly
computer programs. These "Ten programs for exploring dynamics" can be
downloaded, if desired, from my web site
where further details of the book may be found.
Source: David Acheson.
The results of the SIAM Dynamical Systems Activity Group Elections have been
announced. The following have been elected to term running
November 1st 1997 through October 31st 1999.
|Chair:|| Shui-Nee Chow|
|Vice Chair:|| Konstantin Mischaikow|
|Program Director:|| Emily F. Stone|
|Secretary/Treasurer:|| Raymond E. Goldstein|
|Advisory Board:|| Peter W. Bates|
|Jack K. Hale|
|Jerrold E. Marsden|
|Steven H. Strogatz|
|James A. Yorke|
Source: Dynamics Notes
Volume 1997: Number 003.
The UK will be hosting Dynamics Days 1998. Supported by the LMS, the
meeting will be held during the
period 28 June - 1 July 1998, hosted in Edinburgh by the ICMS. A full
programme of speakers will be announced in due course and full details
of registration etc will follow to individual departments.
In the meantime, any informal queries should be addressed to John Hogan
firstname.lastname@example.org) or John Brindley
Source: John Hogan (
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Last Updated: 28th October 1997.