----------
Da: mich arseno <mich90@...>
A: caostheory-owner@onelist.com
Oggetto: Re: [caostheory] Welcome to caostheory - Michel Arsenault
Data: domenica 8 agosto 1999 0.48

Hello,

I've just joined this mailing list.  My Name is Michel
and I am
a sociology graduate of a Montreal University.  My interest
in caos theory was triggered by reading Glick's Chaos
Theory.  Prior to reading parts of this book I had done
some research in Sociology, with an interesting group of 8
researchers.  Most of the research relied on using
quantitative data provided by Stats Canada.  My particular
study topic was a Time-Series analysis of the informal
economy (esp. rural inf. econ.)  Indices of different
activities were created in order to put in categories
different.

** the definition of informal economy included activies
that people can do in a barter system - or a LETS system.
Theses activies included for example - Home construction,
mechanics, babysitting, mending, making/selling crafts etc
..

My interest in this mailing list is especially to see how
people adapt chaos theory to other disciplines than
physics.

regards,

mich90@...



______________________________________________________
Bo๎te aux lettres - Caramail - http://www.caramail.com


----------

Hello everyone,

My name is Ewa Mendys and I am a PhD student in economics in Tinbergen
Institute, Rotterdam, the Netherlands. I have rather a vague idea about chaos
theory, but I hope to learn something here and perhaps, if possible, use some
ideas in my research. I have just started working on the adoption of new
techologies/products/ideas in the presence of network externalities.
Greetings,
Ewa

----- Original Message -----
  From: McClelland_R <McClelland_R@...>
  To: SNDE Mailing List <snde@...>
  Sent: Tuesday, August 03, 1999 1:12 PM
  Subject: SNDE: FW: The 17-th European Conference on Operational Research





  From: Bela Vizvari[SMTP:vizvari@...]
Sent: Friday, July 30, 1999 7:03 PM
  To: McClelland_R@...

  Dear Colleagues,

  The 17-th European Conference on Operational Research will be held in
  Budapest, Hungary, July 16-19.

I am organizing a special session on the applications of dynamical
  systems

  in economics. Possible topics are: analysis of the evolution of any
  market,
  demand and/or supply functions of markets, price expectation of
  producers,
  applications of chaos theory, or any topic you think to be relevant.

  If any of you would be interested, please contact me.

  The following web site provides us with information on the conference:

  www.sztaki.hu/conferences/euro17

  Best wishes

  Bela Vizvari

  vizvari@...
  vizvari@...

Dear caostheory,

My name is Chris Hughes, and I am a Ph.D. student in the
maths department of the University of Bristol, and I am
studying the value distribution of the Riemann Zeta
Function. (For those who may not have met the zeta
function, it is a function that delights pure
mathematicians since it explicitly relates the natural
numbers to the prime numbers. More importantly, the
position of its zeros (subject to the famous Riemann
Hypothesis) determines the error in the Prime Number
Theorem).

So what has this to do with Chaos?

The method I use try to find out about the zeta function is
to create a random matrix zeta-like function, and study
*its* probability distribution, which we then conjecture to
be like the value distribution of zeta itself. Now random
matrices are a much-used tool in Quantum Chaos (that is,
the study of quantized classically chaotic systems).
Indeed, it seems quite likely that if there exists a
dynamical system underlying the zeta function, it would be
classically chaotic.

So that's me!

Chris.

----------------------------------------------
                Christopher Hughes
School of Mathematics
University of Bristol
University Walk
Bristol
BS8 1TW
UK

c.p.hughes@...
----------------------------------------------

Hi!
I am in general interested in all aspects of nonlinear dynamics, chaos and
its applications. Presently I am involved in applying chaos theory to
problems in nonlinear geophysical processes (including atmospheric
science, oceanography, etc). I am interested in neuroscience problems
also. My PhD thesis was mostly based on the work on integrability and
chaotic behaviour aspects of certain field-theory models.
Regards,
Joy

--------------------------------------------------------------------
Dr. M. P. Joy
Fellow                          Phone:     +91 80 527 4667, 527 4649
CSIR Centre for Mathematical -  Fax:       +91 80 526 0392
Modelling & Computer Simulation email:     joy@...
Bangalore 560 037               Home Page: www.cmmacs.ernet.in/~joy/
INDIA
--------------------------------------------------------------------

I've been working on chaotic oscillators (see my PhD thesis'
abstract below) and recently I became interested in chaotic
communication systems. For more information you may take a
look at:

http://rfic.ucsd.edu/chaos/

I'm open to any discussion regarding chaos/complexity
so please feel free to contact me at any time!

Have a good day,
Gian Mario


--------------------------------------------------------------
PhD thesis : "Nonlinear Dynamics and Chaos
                                 in Electronic Oscillators"

          Sinusoidal oscillators lie at the heart of modern communication
systems.
     The drive towards increasingly higher operating frequencies forces circuit
     designers to use single-transistor L-C oscillators structures where
feasible
     and to implement as much of the oscillator as possible in a single
integrated
     circuit.
          Oscillator design methods currently employed in the electronics
industry
     for oscillators of this type are based primarily upon linear analysis.
While
     linear methods have proven invaluable over many years in generating first-
     order approximations, they are severely limited in both qualitative and
     quantitative predictions.
          In this work, we apply nonlinear analysis techniques in order to
predict
     qualitatively the large-signal performance of an oscillator.  In
particular,
     the Colpitts oscillator is introduced as a paradigm for developing analysis
     and design techniques for sinusoidal oscillators.
          First, we discuss the birth of oscillation in terms of Hopf
bifurcation
     theory. Then, characterization of the signal generated is discussed. The
     limiting role played by period-doubling bifurcations with respect to
nearly-
     sinusoidal oscillation is highlighted and we propose several methods for
     predicting the appearance of subharmonic behavior.
          By making use of bifurcation analysis and continuation techniques, we
     show how a complete picture of the dynamical behavior of the circuit in
     terms of its parameters can be obtained.  These results are compared with
     those obtained by simulation, and the limitations associated with
simulation
     techniques are highlighted.
          For the Colpitts oscillator we identify the main routes to chaos
and we
     illustrate the local and global coexistence phenomena.  Also, the
organizing
     role played by homoclinic bifurcations in the parameter space is stressed.
          Design rules are developed for applications requiring either
sinusoidal
     oscillation or chaotic behavior.
          Finally, the theoretical predictions are confirmed experimentally
and the
     extension of this work to other oscillator configurations is discussed.




_________________________________________________________

Dr. Gian Mario MAGGIO

Institute for Nonlinear Science (INLS)
University of California, San Diego
9500 Gilman Drive, La Jolla
CA 92093-0402, U.S.A.

Tel.   : (858) 822-2012
Fax    : (858) 534-7664
E-mail : gmaggio@...
WWW    : http://vdp.ucd.ie/personnel/cv-maggio.html
__________________________________________________________

the subject of chaos and its control is basically my academic research
interest in the past, but i'm now looking forward to seeing its
real-world applications ...

for my academic background and detailed research topics, pls visit

ftp://ftp.egr.uh.edu/pub/TeX/

in particular, you may like to download and read the following files:

ftp://ftp.egr.uh.edu/pub/TeX/publications.ps
ftp://ftp.egr.uh.edu/pub/TeX/new-chaos.ps
ftp://ftp.egr.uh.edu/pub/TeX/chaos-order.ps
ftp://ftp.egr.uh.edu/pub/TeX/CRCbook.ps

thanks for your attention.


G. Ron Chen
;-)

I have been working in theoretical models called coupled map lattices,
synchronization and similar topics.

These days I am interested in knowing more about experiments, experimental
results and models that relate to real life.

P.M. Gade

mostly research work...
Main applications in chaos synchronization, chaos control....

Hi there,

My name is Robert Bronsing and I am a Ph.D. student in the field of
neuroscience. My work consists both of neuranatomy of the cerebellum
and electrophysiology of the cerebellum in relation to locomotion.

Chaos in our laboratory is not such a hot topic, since I seem to be
the only one interested in it. I hope to apply non-linear dynamics to
my project. In my project I deal with modulation of reflexes in
locomotion by the cerebellum and preliminary data suggest that the
underlying dynamics are intrinsically non-linear. Further more, I
feel that a good understanding of non-linear dynamics or complexity
will be of paramount importance to the field of the neurosciences, as
theories of this  kind can help us understand the nature of the
underlying process.
I do see a problem with applying chaos theory to neuroscience. In
many cases, it becomes difficult ifnot impossible to determine wether
the application renders useful information or just nice maths.

Besides neuroscience my hobbies include sailing, scuba diving and
reading.

Regards,

Robert Bronsing.




Robert Bronsing
Dpt. of Anatomy
Faculty of Medicine and Health sciences
Erasmus University Rotterdam

Thanks for joining our list and welcome to Andrey, C.De Benedetto,
Clboyd, Giorgio Trombetti, Derek Perez, Elbert Macau, Peter Liu,
G.Chen, J.Dan, Joy M P, Massimo Giovannozzi, Doug Stewart, Ucescwc
and Andrey Ivanowsky.
Now by now all togheter we could give each one a contribute for this
purpose answering to the simplest
questions: for instance...'what is chaos for you? what is chaos for your
field of application?
Fix please at which point is the research in your 'field' today, and so on.
All messages posted
will be contained in the digests updated about every 2-3 days. On the
second step we can classify
all the messages posted for a simplier and better consultment.
I just posted something about deterministic chaos (thinking mostly from the
point of view of economists) and about the discovery of chaos (which I hope
it's
common for everybody).
The digests can be viewed clikking on 'View archives' of our ML
'caostheory' joining the website
of onelist.com:
http://www.onelist.com

Cordially yours,
                                                                Simone

~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Caramel Simone
via Doberd๒ 3
31020 -  Fontane di Villorba
Treviso - Italy
tel. +39  0422   420564      home
       +39  0338   8129030    mobile
       +39  0422   300792      work
http://users.iol.it/canziani.ado
e-mail:
        adothepoet@...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hello caostheory-
	 I am a graduate student at the University of Colorado at Denver in
mathematics, working on my dissertation on the geometry and topology of
chaos control. I am currently supported by a grant from the US navy to
study the possibility of using methods from chaos control theory to
stabilize the pendulations of shipboard cranes while offloading in rough
seas. Aside from mathematics, my interests are gardening, gourmet cooking
and microtonal music.

John Starrett
http://www-math.cudenver.edu/~jstarret

Archives of CHAOPSYC@...


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From: The Conference Group (http://www.bizspirit.com)
[mailto:message@...]
Sent: Monday, August 02, 1999 10:15 PM
To: sicc@...
Subject: Business & Consciousness




The 1999 International Conference on Business and Consciousness
November 6-13, 1999
Acapulco Princess Resort, Acapulco, Mexico

On a global level, from corporate offices to home based business endeavors,
there is evidence that people want to see business wake up in the way
people have been waking up in their personal lives.

In a time when business controls a larger percentage of the world's economy
than government, it is imperative that business leaders look at how the
concern over the financial bottom line has been at the expense of much we
hold dear in life.

The intent of this conference is to help people and organizations
incorporate values that will enable them to feel enthusiastic about what
they are doing, how they are doing it and how it is affecting the rest of
the world. This conference brings people together from all levels and all
types of businesses to share ideas, resources and practical applications.

This is the second year for this conference. Prior to this we were involved
with three Spirituality in Business conferences. All have taken place in
Mexico, as it offers a perfect environment for the business person to get
away from the demands of a hectic lifestyle.

Imagine an action-packed week of cutting-edge speakers, dynamic
presentations and exciting networking opportunities with people from all
over the world. Beyond the normal offering of lectures and workshops there
are also activities for nurturing body and soul. This conference is truly a
celebration of the human spirit.

Please visit our website at http://www.bizspirit.com for more complete
information, or call us at 505-474-7604.

Speakers include:

Margaret Wheatley, PhD, author, Leadership and The New Science

Ben Cohen, cofounder and Chairman, Ben & Jerry's

Michael Gerber, author, The E-Myth Manager

Steve Meyer, Director of Leadership, 3Com Corporation

Jim Stuart, former CEO, Needlecraft Corporation

Jack Canfield, co-author, Chicken Soup for the Soul at Work

Matthew Fox, PhD, author, The Reinvention of Work

Michael and Justine Toms, founders, New Dimensions Radio Network

Ian Mitroff, author, Smart Thinking for Crazy Times

Kate Ludeman, Barbara Marx Hubbard, Peter Russell, Barry Heerman, Hazel
Henderson, Michael Jones, Brooke Medicine Eagle, Richard Whiteley, and
many, many others.


If you find the information in this message to be of value, please forward
it to others who may be interested.

Warm Regards,
Lin Reams, Barbara Gordon, TC Gritt, Richard Auer, James Berry
*********************************************
The Message Company
4 Camino Azul
Santa Fe, NM 87505   USA
Ph: 505-474-7604, 505-474-0998
Fax:505-471-2584
message@...
http://www.bizspirit.com

Producer of
* The 1999 International Conference on Business and Consciousness
* The 2000 International Conference on Science and Consciousness
* Business Spirit Journal Online: Bringing Consciousness to Business
* The Inner Life: A Retreat Process for professionals

Save Trees - Use Recycled Electrons

Caos & Complessitเ - http://users.iol.it/of

From: Society for Mathematical Psychology
[mailto:MPSYCH-L@...] On Behalf Of Mary Ann Metzger
Sent: Monday, August 02, 1999 6:10 PM
To: Multiple recipients of list MPSYCH-L
Subject: CALL FOR CONTRIBUTIONS: ICCM-2000


CALL FOR CONTRIBUTIONS: ICCM-2000

Third International Conference on Cognitive Modelling

Groningen, Netherlands, 23-25 March 2000, with optional tutorials
on 22 March

------------------------------------------------------------------

Contributions are invited for the Third International Conference
on Cognitive Modelling, to be held at the University of Groningen
from 23 to 25 March 2000.  This series of meetings was founded to
encourage international, inter-disciplinary co-operation in the
field of cognitive modelling.  The first meeting, held in Berlin
in November 1996, attracted about 60 researchers from Europe and
USA working in artificial intelligence, cognitive psychology,
computer linguistics and philosophy of mind. The second meeting,
held in Notthingham in April 1998, was equally successful with an
attendance of around 70 researchers.

Submissions are welcome on any aspect of the computer modelling
of human cognition, but preference will be given to work which
describes both a running computer model and its comparison to
empirical data.

Further information about this Call, about the format for
submissions, and about the Conference itself can be found at
the conference Web site:
http://tcw2.ppsw.rug.nl/iccm/

Contributions can take the form of papers, posters, proposals for
symposia, or tutorials.


PAPERS

Papers can be submitted electronically to
J.Aasman@...
in one of the following formats:
- Plain text
- pdf
- html
- Word 7
Put ICCM in the subject line of you email. Submissions will be
confirmed within 3 workdays. Your submission should arrive before
5pm on 15 December 1999. Since the final paper consist of no more
than 8 pages, restrict your submission to around 4000 words or
less if you include figures. For the final submission hardcopy is
required: email and fax submissions are not acceptable.  Papers
should include a cover page giving the name and contact
information of the first author, and stating any requirements for
audio-visual equipment. The paper itself should consist of not
more than 8 sides of A4 or US (8.5" x 11") paper, set in 10 point
type in two columns.  For detailed formatting instructions,
sample pages, and templates for word processing, please consult
the Web page as given above.


POSTERS

Work can be submitted as a poster which for any reason is better
presented as a poster than as a written paper and talk.  To
submit a poster, please send an abstract of up to two pages (1000
words) using the same guidelines as under papers.  Authors of
accepted posters will be invited to address the audience for
three minutes as part of a "poster mania" session, in order to
whet the audience's appetite and encourage them to visit the
poster.


SYMPOSIA

By a symposium, we mean a session of related work on a particular
topic.  The session can take any of several different forms: some
short presentations followed by a discussion, a panel discussion,
a debate, and so on.  The length of a symposium session is
flexible, but by default would be 90 minutes. If you would like
to organise a symposium, send us a proposal outlining your ideas
and the names of the contributors, by no later than 1st December.
  If the proposal is accepted, we will work with you to try to
ensure the success of the symposium, but you will be responsible
for arranging and running it.


SPECIAL INTEREST GROUPS

Cognitive modellers tend to work in many areas of cognitive science. In
order to promote coorperation in these areas, we're planning a number
of Special Interest Groups on a number of themes. The idea is to
have modellers in specific areas discuss the main problems they have
encountered and possible solutions to these problems. Possible areas
are:
- Complex skill acquisition
- Language
- Cognitive Development
- Implicit learning
- Human Computer Interaction
- Eye and hand coordination and external tasks
- and so on
If you have any ideas for themes, please contact the organizers. We'll
include the final list in the call for participation, and will schedule
those SIG's for which there is sufficient interest.


TUTORIALS

There will be one-day tutorials offered on various cognitive
modeling techniques. If you would like to organize a tutorial,
please contact one of the organizers as soon as possible.

PROCEEDINGS

Papers will be published in proceedings that will be handed out at
start of the conference.

Important dates:
---------------
   Paper or poster:    to ARRIVE by 5 pm on 15 December 1999
   Decision:           by 27 January 2000
   Revised version:    by 24 February 2000

Send submissions to:
-------------------
   Jans Aasman: J.Aasman@...


For enquiries, contact:

   Niels Taatgen: niels@...
   Jans Aasman: J.Aasman@...

--
Frank.Ritter@...
     + 44 (115) 951-5292 (office, will bounce to an answerphone)
     + 44 (115) 951-5324 (fax)
   Psychology
   U. of Nottingham  http://www.psychology.nottingham.ac.uk/staff/ritter/
   Nottingham  NG7 2RD
   England

After 1 October 1999:
   ritter@...
   + 1 (814) 865-4453 (office)   865-5604 (fax)
   School of Information Sciences and Technology    http://www.ist.psu.edu
   512 Rider Building, 120 S. Burrowes St.
   Penn State
   University Park, PA  16801-3857

Welcome and thanks to the new friends have just joined us: Toni Juan, Bacco
Baccani, Robert Bronsing,
Chris Hughes, i f, Franco Grassi, Gergely Szalka, Gian Mario Maggio,
Jean-Pierre Edberg,
Jay Hill, Joglekar, loco321, Michael Small, Tomเs Gonzเles, Dmitri Topaj
and Victor Martinez.
Thanks Jay for your suggestment.
I could find some space in my web site to contain FAQ about this list.
Actually there could be members of this new ML who don't have any idea
of this matter of discussion, therefore the better welcome for them and for
everybody,
because everyone  maybe know chaos only from the proper point of view and
from its specific field of
application, is to create and find a space for FAQ.
Now by now all togheter we could give each one a contribute for this
purpose answering to the simplest
questions: for instance...'what is chaos for you? what is chaos for your
field of application?
Fix please at which point is the research in your 'field' today, and so on.
All messages posted
will be contained in the digests updated about every 2-3 days. On the
second step we can classify
all the messages posted for a simplier and better consultment.
I just posted something about deterministic chaos (thinking mostly from the
point of view of economists) and about the discovery of chaos (which I hope
it's
common for everybody).
The digests can be viewed clikking on 'View archives' of our ML
'caostheory' joining the website
of onelist.com:
http://www.onelist.com

Cordially yours,
                                                                Simone



> From: "Hill, Jay R." <JAY.R.HILL@...>
>
>  http://www.lmsal.com/YPOP/homepage.html
>  http://www.solar.ifa.hawaii.edu/mees.html
>
>
>  Your intro letter and the FAQ at onelist.com shows no hint of where
> the archives are. Also,
>  we should soon create a FAQ for this forum and keep it posted at
> some web site.
>
>  Jay Hill
>

"Although the existence of deterministic dynamical systems with chaotic, or
'strange', behaviour has been known for over a century, only recently has
the
scientific community awoken to the fact that chaos is in no way a rare or
pathological occurence. On the contrary, most dynamical systems exhibit
chaotic
dynamics in the sense just outlined.
This is a disturbing result. In fact, although there is no fixed limit to
the degree of
accuracy of observation of physical phenomena, we must assume that it is
finite, i.e.,
the observations are necessarily coarse-grained, 'infinite precision' (very
much like 'perfect
foresight') being only a convenient but possibly misleading abstract
concept with no
counterpart in physical phenomena. It follows that for the generality of
dynamical system of
pratical interest, absolute determinism of the 'law of motion' does not
necessarily exclude
randomness of behaviour.
Naturally, since any conceivable modelling of a real system must
necessarily entail a selection
of relevant variables to the exclusion of the rest, the presence of
external shocks and the noise
that accompanies them can never be completely eliminated. Therefore, in
order to be compared
to real data, a representation of a real dynamical system will have to
include some stochastic
elements. However, the 'chaos revolution' of recent years has shown that
external noise may
not be the only or even the most important source of randomness in the
behaviour or real systems,
but there may also be an 'intrinsic randomness' owing to the unavoidable
fact that we cannot
measure physical variables with infinite precision.
The story of discovery, neglect and revival of deterministic chaotic
dynamics, i.e., the dynamics
of systems which are both deterministic and stochastic, is scattered among
many books and
articles, with various degrees of sophistication and originallity, and it
will only be briefly sketched here.
The possibility that simple, nonlinear, low-dimensional dynamical systems
can exhibit very
complicated, apparently random behaviour, was already known to Henri
Poincar้ at the turn of
century. The idea remained (almost) dormant for several decades, in spite
of some important
contributions to the field, such as those made by Birkoff in the USA and
Cartwright and Littlewood
in the UK. In the West it was highlighted in the early sixties by the work
of Edmund Lorenz (1963)
in the context of a numerical investigation of a model of atmospheric
turbulence.
Lorenz's results, it is important to note, were made possible by the
availability of electronic computers,
which allowed the 'step-by-step' computation of differential equations.
Basic theoretical results on
chaotic dynamics and 'stange' attractors were provided in the 1960s by
Smale (1963, 1967) and
in the early 1970s by Ruelle and Takens (1971). In the meantime, some very
important results
were produced in the USSR both in the ergodic and in the geometric theory
of chaos (among others
by Kolgomorov, Arnold, Anosov, Silnikov and Sinai), some of which became
known in the West
only with a considerable delay. The subject has in the recent past
experienced a tremendous rate of
development and the literature is still growing fast.
Very significant progress has been made mainly in three directions:
mathematical investigation of
nonlinear dynamical system, applications of mathematical results to the
analysis of models motivated
by problems of physical interests, analysis of so-called 'experimental
signals', i.e., time series
supposedly generated by (unknown) dynamical systems.
Two aspect of chaos theory have been receiving an increasing amount of
interest in the last 2 decades
(1970s, 1980s):
(i) chaotic behaviour may be strange, but, as we have already mentioned, it
is not rare;
(ii) the choatic behaviour of increasingly large class of dynamical systems
can be described
by a relatively small number of mathematical objects and certain universal
properties (e.g., period-
doubling sequence of bifurcations) have been discovered which do not seem
to depend on the specific
system under investigation, whether these emerge from biology, physics,
economics, etc.
Furthermore, the modes of behaviour predicted by the analysis and the
numerical simulations of
theoretical models have often been confirmed by physical experiments in
different disciplines, though
not yet, or not yet conclusively, in economics.
Thus chaos theory has from the beginning had a rather strong
interdisciplinary character, though
its universal nature has sometimes been exaggerated and occasionally
associated with a scientifically
dubious 'dark mystique'."

from 'Chaotic Dynamics' by Alfredo Medio
Cambridge University Press 1992  pag. 6-8

'Although a universally accepted and comprehensive characterization of
chaos
is still lacking, in this introduction we shall adopt the definition
suggested in a
conference on chaos (Royal society, London, 1986), namely, 'stochastic
behaviour
occuring in a deterministic system'. Broadly speaking, a system is sayed to
be
deterministic when it comprises no exogenous random variables. On the other
hand,
the observable behaviour of a dynamical system is called stochastic when
the transition
of the system from one state to another can only be given a probabilistic
description
as happens for truly random processes, e.g., the outcome of spinning a
roulette wheel.
How can we reconcile these 2 apparently opposite modes of behaviour, random
and
determinate? A full answer to this question would entail the consideration
of deep questions
of mathematics and probability theory. Let us make the following
assumptions (a few basic
nontechnical characterizations of deterministic chaos):
(a) a certain agency, call it 'news', has a precise knowledge of the rules
governing the evolution
in time of a dynamical system, over an appropriate variable space;
(b) this space is partitioned into a finite set of equal, non-overlapping,
numbered cells, the size
of a cell depending on the accuracy with which the position of the system
is monitored (this
procedure is sometimes called 'coarse-graining';
(c) at certain arbitrarily small time-intervals, we are told by the 'news'
the number of the cell where
the system then resides.

Let us now pose the following question: is the complete knowledge of which
cells the system has
occupied in the past sufficient to predict its future course?
For a nonchaotic system, the answer to this question must be affirmative.
In this case, the sequence
of cell numbers will eventually follow a regular pattern, e.g., it will be
periodic.
Sooner or later, therefore, when we have accumulated a sufficient number of
data, we shall be able to
exactly predict the future positions of the system moving from one cell to
the next.
For nonchaotic systems, therefore, after a certain time, listening to the
'news' becomes totally
uninformative.
For a chaotic system, however, no matter how long we accumulate data on the
past positions of
the system, we cannot accurately predict its transition from the present
position to the next one (or
to any of the future ones). In this case, we acn only make probabilistic
forecasts, it any at all.
For chaotic systems, therefore, coarse-grained past, however long, does not
determine uniquely
and completely coarse-grained future. In other words, the 'news' will
continue indefinitely to be a
source of additional information on the system. This characteristic of
chaotic system persists no
matter how small the size of the cell in the finite partition, i.e., no
matter how accurate the 'news' is.
Therefore, for a system following a chaotic orbit, despite exact knowledge
of its 'law of motion', the
sequence of the cell numbers corresponding to its position may look random
and provide no obvious
hint of the underlying deterministic structure, for any finite number of
observations of finite precision.
The fact that we cannot make exact predictions of the long-term behaviour
of chaotic systems does not
exclude the possibility of making (more or less accurate) short-run
forecasts. The general qualitative
nature of those systems can also be investigated by estimating certain
statistical invariants (i.e. Power
Spectral Density PSD, Lyapunov characteristic exponents LCE, Entropy,
Fractal Dimension, ..).
However, even statistical predictions may become difficult or impossible if
a chaotic system exhibits
the so called 'sensitive dependence on parameters', i.e., if its mode of
behaviour changes drastically
when the value of a parameter is altered by an arbitrarily small amount. In
this case, statistical averages
concerning the system may become unstable under variations in parameters,
so that the forecaster
may have to face a situation that is even worse than that created by SDIC
(sensitive dependence on
initial conditions.'

from 'Chaotic Dynamics' by Alfredo Medio
Cambridge University Press 1992  pag. 4-6

> Welcome to the list. Please take a moment to review this message.

	 >Upon joining the list, please take a little time to tell everyone
about
> yourself,
>
	 Hi guys, I have been following chaos and the related fractal groups
for some years now.
	 I find the visualization of chaos with fractal images very
enjoyable.  In the 'early' days -
	 about 7 years ago, along with Y. Fisher, I helped more than 60 folks
on the internet
	 'waste' machine time trying to narrow the bounds estimating the area
of the
	 Mandelbrot set.

http://www.geocities.com/CapeCanaveral/Lab/3825/Period-Area-16.html

	 It was a lot of fun for several months (in sci.fractals), trying to
find some order in
	 what is often thought of as the prime example of chaos. A current
equivalent is
	 the search for large prime numbers in a group called GIMPS.
	   http://www.ombomb.org/gimps/


	 >and please feel free to suggest topics for discussion.

	 Lately I have been watching the chaos played out on the Sun.

	 http://www.maj.com/sun/noaa.html
	 http://umbra.nascom.nasa.gov/eit/eit_full_res.html
	 http://www.lmsal.com/YPOP/homepage.html
	 http://www.solar.ifa.hawaii.edu/mees.html

	 The constantly changing magnetic loops and other patterns in the
X-ray images
	 are beautiful. I'm sure they have passed from art to science long
ago, since I
	 have seen computer simulation results showing similar patterns. But
long after
	 those computers and the telescopes are shut down for lack of
funding, our Sun
	 will keep putting out more such patterns.

	 The images on these web sites are up dated every few hours. Movies
of the
	 X-rays show changes in as short time scales as a few minutes.

	 > As this list is also a studygroup of working up a chart for
ourselves,
	 > please spend some time in the archives and have a look at what we
have
	 > covered so far.

	 Your intro letter and the FAQ at onelist.com shows no hint of where
the archives are. Also,
	 we should soon create a FAQ for this forum and keep it posted at
some web site.


	 > Thanks,
	 > Simone

	 Thanks for setting up the list.

	 Jay Hill

hello my name is onie trujillo and i have just joined the list i am kind
of young and not very informed about caos theory and am hoping to learn
much from the group

Please post or distribute where possible.


                    Call for Pre-Proposals

               Research in Consciousness Studies
                         Third Round

   Consciousness Studies at the University of Arizona is currently seeking
   research pre-proposals that address issues related to the understanding
of
   consciousness.

   Proposals are invited that stem from the following areas, and
   will be judged on the basis of quality, originality and relevance.
   Interdisciplinary proposals are especially encouraged.

   1)  Philosophy
   2)  Neuroscience
   3)  Cognitive Science and Psychology
   4)  Physical and Biological Sciences
   5)  Phenomenology and Culture


     Examples of areas to be addressed would include but not be
   limited to:
   -- the binding problem
   -- implicit cognition
   -- first-person methodologies
   -- the "hard problem" and the explanatory gap
   -- conscious and unconscious processes
   -- quantum approaches
   -- neural correlates of consciousness
   -- synesthesia
   -- computability vs. non computability
   -- subjective time
   -- emergent and hierarchical systems
   -- cross-cultural approaches to mind

   Pre-proposals are due November 1, 1999.  A number of these
   will be selected to submit full proposals by February 2000.
   Awards will be made in May 2000.


   Two types of awards are available:  Research Grants and Visiting
   Research Fellowships.

   Research Grants
   Projects in this category are generally conducted at the home
   institution of the researcher (although affiliation with
   an institution is not a requirement).  Awards are
   available between $10,000 and $20,000 and would typically run
   for one year.


   Visiting Research Fellowships
   A limited number of awards are set aside to conduct research at
   the University of Arizona, possibly in conjunction with Arizona
   faculty and staff. A Visiting Research Fellowship would typically last
   from two to six months and include an award between $5,000 and $10,000.

   Pre-proposals should include:

   1)  Principal Investigator(s), with affiliation, address, phone and
e-mail
   and a two page CV.

   2)  Two page project description, including project title, narrative and
   a summary budget.

   Indicate whether the application is for a Research Grant or a Visiting
   Research Fellowship.

   Submissions sent by e-mail to <center@...> are preferred.

   Hard copies can be sent to:
   Jim Laukes
   Consciousness Studies
   Department of Psychology
   University of Arizona
   Tucson AZ 85721  USA
   Phone:  (520) 626-9061




Second Round Research Grants funded by Consciousness Studies, University of
Arizona <subhead>

Ralph Adolphs, Hanna Damasio, Matthew Howard
(University of Iowa)
"Single-unit neurophysiology of emotional experience in the human brain"


Elizabeth Behrman
(Wichita State University)
"Simulation of a cytoskeletal quantum neural net"

Itzhak Fried, Christof Koch
(UCLA, California Institute of Technology)
"Recording single neurons in human cortex during binocular rivalry"

Cheryl Grills, Arletha Livingston
(Loyola Marymount University)
"Akan conceptualizations of consciousness"

Peter G. Grossenbacher
(National Institute of Mental Health)
"Deciphering synesthesia through structured interviews and psychophysics"

Edward S. Katkin
(SUNY at Stony Brook)
"The effects of visceroception on judgment and decision making: autonomic
influences on unconscious processes"

Jason B. Mattingley
(Monash University)
"Exploring consciousness in vision and action: Interdisciplinary studies of
normality and pathology"

William S. Robinson
(Iowa State University)
"Patterns as causes of qualitative consciousness"

Alexei V. Samsonovich, Lynn Nadel
(University of Arizona)
"Artifical consciousness as a metaphor for human consciousness"

Michael J. Spivey
(Cornell University)
"Implicit visual memory and imagery as revealed by eye movements"

Jack Tuszynski, Andrew Brown
(University of Alberta)
"Building blocks of consciousness"

Welcome and thanks for joining this new ML new 'chaos friends'!!!
I mean during this month and the next one to give the opportunity to all
people interested in
this project to join our list, therefore it could be useful to spend this
time presenting
ourselves obviously refer to the subject of this ML (education, why the
passion for chaos,
chaos field of application,  personal and general chaos studies and
research in each field of application,
expectations and suggestments for this ML organization, and so on).
  I have just posted my presentation, so you can find it looking at the
archives.
Cordially yours,

                                 Simone

~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Caramel Simone
via Doberd๒ 3
31020 -  Fontane di Villorba
Treviso - Italy
tel. +39  0422   420564      home
       +39  0338   8129030    mobile
       +39  0422   300792      work
http://users.iol.it/canziani.ado
e-mail:
        adothepoet@...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I am very glad to see that after only 3 days our list has got already 10
members.
Thanks and welcome to everyone: Bruce Tedesco, Frederic Dupont, J.Melone,
John Starrett, Junling Ma, Kurma, Sebastiano Manzan, Luciano Zazzetti and
Jesus
Crespo. Thanks Jesus for your presentation.
I think during this month and the next one to leave time to all people
interested in
this project to join our list, therefore it could be useful to spend this
time presenting
ourselves obviously refer to the subject of this ML (education, why the
passion for chaos,
chaos field of application,  personal and general chaos studies and
research in each field of application,
expectations and suggestments for this ML organization, and so on).
I present myself so you can know who is this misterious man who invited you
to join this list. :)
My name is Simone Caramel, born and living actually in Treviso (30km from
Venice, Italy)
december 18th, 1970.
I was graduated in economics by the University of Venice presenting a
thesis titled:
'Consistency of Expectations in Economic Models with Complex Behavious'
with the supervision
of my chairman prof. PH.D. Alfredo Medio.
So I knew chaos theory when I started to attend Medio's teaching, seen that
he's is specialized in
chaos, and expecially in chaotic dynamics and its applications to
economics.
There are several models used in economic research which are good for a
dynamical approach:
for instance  models of overlapping generation (e.g. Benhabib and Day,
1982; Grandmont, 1985),
macroeconomic models (e.g. Stutzer, 1980; Day, 1982), model of rational
consumption (e.g. Benhabib and Day, 1981), models of optimal growth (e.g.
Deneckere and Pelikan, 1986), models derived from economic problems using
one-hump functions (e.g. Baumal and Benhabib, 1988; Lorenz, 1989; Boldrin
and
Woodford, 1990 and Scheinkman, 1990), Cobweb models (e.g. Day and Hanson,
1991), Hick's nonlinear
trade cycle model (e.g. Hommes, 1995), Sunspots (e.g. Woodford, 1990),
Keynesian macroeconomic models (e.g. B๖hm, Lohmann and Lorenz, 1994),
Models of complexity in finance (e.g. Brock and Hommes, 1996), Application
to financial markets (e.g. Hsieh, 1991).
Particularly in my thesis I pay attention to the similitudes, using linear
tests (or in terms of linear statistics), between stochastic processes
dynamics and a closed class of deterministic processes generating chaotic
dynamics.
In a feedback expectations system, I show how it is possible to distinguish
between linear (stochastic) expectations and non linear (deterministic)
actual law of motion using some non linear tests: for instance, the
expectational errors are not IID using the BDS test.
I introduce some non linear beliefs, in a tipical model with chaotic
dynamics, to verify its consistency, and after that, I compare this results
with the outcome of an alternative use of simple linear expectations: I
show how, in a consistent expectations equilibria, it could be produced
selffulfilling mistakes, and no more selffulfilling expectations (as in the
CEE by Hommes and Sorger).
A final research was oriented to study the complex dynamics in an OLG model
without production introducing omogeneous or heterogeneous beliefs. I show
that, in case of heterogeneous beliefs, using 2 alternative predictors
chosen considering some performance past measure, if the agents take the
predictors fifty fifty
(or, at the same time, there is a equal distribution of the beliefs between
2 alternative
predictors) then this is a welcome situation to semplify the dynamics of
all the system.
Key words of my thesis are: expectation's formation, agents belief,
learning dynamics, consistency of expectations, neural network, nets of
network, case-based decision theory, sensory order,
nearest neighbour, bounded rationality, piecewise linear predictor, tent
map, BDS test, selfulfilling mistakes,
Markov chain, homogeneous and heterogeneous beliefs in a OLG model.
Waiting for you now, I thank you again, and have a nice holiday if you are
going to spend it in august.
Cordially yours,
                                                  Simone Caramel




I leave here the bibliography of my thesis for who can be interested:
References

[1] ABARBANEL H. D. I. – BROWN R. – KADTKE J. B. – Prediction in chaotic
nonlinear system: methods for time series with broadband Fourier spectra,
1990, Physical Review A, 41, pag. 1742 e ss.;
[2]  ABARBANEL H. D. I. – BROWN R. – SIDOROWICH J. J. – TSIMIRING LEV SH. –
The analysis of observed chaotic data in physical systems, 1993, Review of
Modern Physics, 65, pag. 1331 e ss.;
[3]  AZARIADIS C. – GUESNIERE R. – Sunspots and cycles, 1986. Review of
Economic Studies, 53, pag. 725 – 737;
[4]  BALASKO Y. – ROYER D. - Stability of Competitive Equilibrium with
respect to recursive and learning processes, 1996, in Journal of Economic
Theory, n. 68, pag. 319 – 348;
[5]  BALASKO Y. – SHELL K. - The Overlapping Generations Model, I & II,
1980 – 1981, in Journal of Economic Theory, n. 23, pag. 281 – 306, n. 24,
pag. 112 – 142;
[6]   BARNETT W. A. – GALLANT A. R. – HINICH M. J. – JENSEN M. J. –
Robustness of nonlinearity and chaos tests to measurement error, inference
method and sample size, 1992, working paper sumitted to workshop on
nonlinear dynamics in economics in Florence;
[7]   BARNETT W. A. – GALLANT A. R. – HINICH M. J. – JUNGEILGES J. A. –
KAPLAN D. T. – JEMSEN M. J. – A single controlled competition among tests
for nonlinearity and chaos, 1996, Journal of Econometrics, forthcoming;
[8]    BENHABIB J. – DAY R. H. – A characterisation of erratic dynamics in
the olg – model, 1982, in Journal of Economic Dynamics and Control, n. 4,
pag. 37 – 55;
[9]   BOEHM V. – Wie complex ist die Konjunktur? Chaosforschung und
konjunkturtheorie, 1995, working paper, Universitaet of Bielefeld;
[10]    BOEHM V. – LOHMANN M. – LORENZ H. W. – Dynamic complexity in a
keynesian macroeconomic model, 1994, discussion paper n. 288, University of
Bielefeld, Department of Economics;
[11]   BOEHM V. – WENZELBURGER J. – Expectations, forecasting and perfect
foresight: a dynamical systems approach, 1997, working paper, University of
Bielefeld;
[12]    BOX G. E. P. – JENKINS G. M. – REINSEL G. C. – Time series
analysis. Forecasting and control, 1994, Third edition, Prentice Hall,
Englewood Cliffs;
[13]  BRAY M. M. – Learning, estimations, and the stability of rational
expectations, 1982, in Journal of Economic Theory, n. 26, pag. 318 – 339;
[14]    BRAY M. M. – SAVIN N. E. – Rational expectations equilibria,
learning and model specification, 1986, in Econometrica, n. 54, pag. 1129 –
1160;
[15]   BROCK W. A. – DECHERT W. D. – SCHEINKMAN J. A. – A test for
indipendence based on the correlation dimension, 1987, Technical Report
8702, Social system Research Institute, University of Wisconsin, Madison;
[16]    BROCK W. A. – HSIEH D. A. – LE BARON B. – Nonlinear dynamics, chaos
and instability: statistical theory and economic evidence, 1991, MIT Press,
Cambridge, MA;
[17]     BROCK W. A. – HOMMES C. H. – Rational routes to randomness, 1995,
working paper, University of Wisconsin, Madison WI 53706, USA;
[18]    BROCK W. A. – HOMMES C. H. – Models of complexity in economics and
finance, 1996, working paper, University of Amsterdam, Department of
Economics, Tinbergen Institute;
[19]    BROCK W. A. – SAYERS C. – Is the businnes cycle characterized by
deterministic chaos?, 1988, Journal of Monetary Economics, 21, pag. 71 e
ss.;
[20]     BLUME L. E. – EASLEY D. -  Learning to be rational, 1982, in
Journal of Economic Theory, n. 26, pag. 340 – 351;
[21]    BULLARD J. – Learning equilibria, 1994, Journal of Economic Theory,
n. 64, pag. 468 – 485;
[22]    BULLARD J. – DUFFY J. – On learning and the stability of cycles,
1995, working paper, Federal Reserve Bank of St. Louis;
[23]    CASDAGLI  M. – Nonlinear predictions of chaotic time series, 1989,
Physica D, 35, pag. 335 e ss.;
[24]      CASDAGLI   M. – Nonlinear forecasting, chaos and statistics,
1991, working paper, SFI;
[25]       CASDAGLI      M. – Chaos and deterministic versus stochastic
non-linear modelling, 1992, J. R. Stat. Soc. B, 54(2), pag. 427 e ss.;
[26]     CHATTERJI S. -  Temporary equilibrium dynamics with bayesian
learning, 1995, in Journal of Economic Theory, n.67, pag. 590 – 598;
[27]          CHATTERJI S. – CHATTOPADHYAY S. – Global stability in spite
of local instability with learning in general equilibrium models, 1996,
Working paper, Universidad de Alicante;
[28]  CHIARELLA C. - The cobweb model. Its instability and the oneset of
chaos, 1988, Economic Modelling, 5, pag. 377 - 384;
[29]     CLEVELAND W. S. – Research in statistical graphics, 1987, Journal
of the American Statistical Association, 82, pag. 419 e ss.;
[30]      CLEVELAND W. S. – Robust locally weighted regression and
smoothing scatterplots, 1979, Journal of the American Statistical
Association, 74, pag. 829 e ss.;
[31]      CLEVELAND W. S. – DEVLIN S. J. – Locally weighted regression: an
approach to regression analysis by local fitting, 1988, , Journal of the
American Statistical Association, 83, pag. 596 e ss.;
[32]  CRAMER F. - Caos e ordine: la complessa struttura del vivente, 1994,
casa editrice Bollati Boringhieri;
[33]     CREANE A.– Jamming a rival's learning, 1995, in Journal of
Economic Theory, n. 65, pag. 585 – 599;
[34]    CREMERS J. – HUBLER A. – Costruction of differential equations from
experimental data, 1987, Z. Naturforsch, 42a, pag. 797 e ss.;
[35]   CRUTCHFIELD J.P. – MC NAMARA B. S. – Equations of motion from a data
series, 1987, Complex Systems, 1, pag. 417 e ss.;
[36]  DAY R. H. - HANSON K. A. - Cobweb chaos, 1991, In: T. K. KAUL - J. K.
SENGUPTA (eds.) Economic models, estimation and socioeconomic systems.
Essay in honor of Karl A. Fox, North Holland, Amsterdam;
[37]   DUFOUR A. – Time series analysis development: new contributions from
chaos theory, 1994, gruppo di ricerca prof. Medio, Dipartimento di Scienze
Economiche, Universitเ di Venezia;
[38]    DIEBOLD F. X. – NASON J. A. – Nonparametric exchange rate
prediction?, 1990, Journal of International Economics, 28, pag. 315 e ss.;
[39]  EIGEN M. - SCHUSTER P. -  L'iperciclo. Un principio di
auto-organizzazione naturale, trad. it. Pegaso, Rovigo  s. a.;
[40]    EVANS G. W. – HONKAPOHJA S. – On the local stability of sunspot
equilibria under adaptive learning rules, 1994, Journal of Economic Theory,
n. 64, pag. 142 – 161;
[41]   EVANS G. W. – HONKAPOHJA S. – Local convergence of recursive
learning to steady states and cycles in stochastic nonlinear models, 1995,
Econometrica, vol. n. 63, pag. 195 – 206;
[42]  EZEKIEL M. – The cobweb theorem, 1938, Quarterly Journal of
Economics, 52, pag. 255 – 280;
[43]    FARMER J. D. – SIDOROWICH J. J. – Predicting chaos time series,
1987, Phys. Rev. Lett., 59, pag. 845 e ss.;
[44]   FARMER J. D. – SIDOROWICH J. J. –  Exploiting chaos to predict the
future and reduce noise, 1988, in Evolution, Learning and Cognition, ed.
Lee Y. C., World Scientific;
[45]   FRASER A. M. – SWINNEY H. L. -  Indipendent coordinates for strange
attractors from mutual information, 1986, Phys. Rew. A, 33, pag. 1134 e
ss.;
[46]  FUCHS G. – Asymptotic stability of stationary temporary equilibria
and changer in expectations, 1976, in Journal of Economic Theory, n.13,
pag. 201 – 216;
[47]  FUCHS G. – Formation of expectations. A model in temporary general
equilibrium theory, 1977, in Journal of Mathematical Economics, n.4, pag.
167 – 187;
[48]  FUCHS G. -  Dynamics of expectations in temporary general equilibrium
theory, 1979, in Journal of Mathematical Economics, n.6,  pag. 229 – 251;
[49]   FUCHS G. – Is error learning behaviour stabilizing?, 1979, in
Journal of Economic Theory, n. 20, pag. 300 – 317;
[50]   FUCHS G. – LAROQUE G. – Dynamics of temporary equilibria and
expectations, 1976, in Econometrica, n. 44, pag. 1157 – 1178;
[51]    GALE  D. - Pure Exchange Equilibrium of Dynamic Economic Models,
1973, Journal of Economic Theory, n. 6, pag. 12 - 36;
[52]   GRANDMONT J. M. – On endogenous competitive businnes cycles, 1985,
in Econometrica, n. 53, pag. 995 – 1045;
[53]  GRANDMONT J. M. – Expectations formation and stability in large
socioeconomic systems, 1994,  CEPREMAP working paper n. 9424;
[54] GRANDMONT J. M. – HILDEBRAND W. – Stochastic processes of temporary
equilibria, 1974,  in Journal of Mathematical Economics, n. 1, pag. 247 –
277;
[55]  GRANDMONT J. M. – LAROQUE G. – Money in the pure consumption loan
model, 1973, in  Journal of Economic Theory, n. 6, pag. 382 – 395;
[56]  GRANDMONT J. M. – LAROQUE G. -  Stability of cycles and expectations,
1986, in Journal of Economic Theory, n. 40, pag. 138 – 151;
[57]   GRANDMONT J. M. – LAROQUE G. – Economic dynamics with learning: some
instability examples, 1991, in: Barnett et. al. (eds.) Equilibrium theory
and applications, Proceedings of the sixth International Symposium in
Economic Theory and Econometrics, Cambridge University Press, Cambridge;
[58]  GRASSBERGER P. – SCHREIBER T. – SCHAFFRATH C. – Nonlinear time
sequence analysis, 1991, Int. J. Of Bifurcation and Chaos, 1(3), pag. 521 e
ss.;
[59] GRASSBERGER P. – SCHREIBER T. – SCHAFFRATH C. – HEGGER R. – KANTZ H. –
On noise reduction methods for chaotic data, 1993, Chaos, 3(2), pag. 127 e
ss.;
[60]  HARRINGTON J. E.  -  Experimentation and learning in a differentiated
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lecture, 1973, Cambridge, CUP.




~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Caramel Simone
via Doberd๒ 3
31020 -  Fontane di Villorba
Treviso - Italy
tel. +39  0422   420564      home
       +39  0338   8129030    mobile
       +39  0422   300792      work
http://users.iol.it/canziani.ado
e-mail:
        adothepoet@...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Welcome Jesus!
I have really glad that you join this ML.
It has always been my secret dream to find a discussion forum about chaos
research,
chaos theory and its multi-applications in any field. I don't think this
exist therefore I though to create me
one, seen that I have some free time. :)
I remember of you cause you were interested in my thesis so I know you
would have been interested
in  this my idea.
Any suggestment and any new idea about how organize this ML are welcome, so
welcome to everybody
because everyone is important and can contribute in some way for a common
purpose.
For instance I though to give some matter of discussion, i.e.: Let's talk
about 'Lyapunov characteristic
exponent' for this month' and everyone can give its contribution posting at
which point in time is the research,
any application of LCE to any field (medicine, biology, chemistry, economy,
finance, termodynamic,
phisic, and so on), some meeting about it already planned, working papers,
experiments, articles, thesis,
and so on.
The main idea is to face any subject from all points of view could be
possible, in such a way to exchange
all informations are possible and available.
Be free to suggest anything.
Cordially yours,
                                             Simone

----------
> Da: crespo@...
> A: caostheory@onelist.com
> Oggetto: [caostheory] New member
> Data: venerd์ 30 luglio 1999 11.57
>
> From: crespo@...
>
> Hi, chaotic people!
>
> My name is Jesus, and I am an economist working/studying (one never stops
studying)
> in the Institute for Advanced Studies, in Vienna.
> Among my many and very diverse interests, applications of chaos
> theory to economics holds a privileged place, so I guess it will be
interesting to
>  share ideas in this mailing list.
>
> Nice to be around!
>
> If you want to have a look at my homepage, it is
>
> http://w3.ihs.ac.at/~crespo
>
> , and if you were, by chance, interested in any of my research outputs,
please let me know.
>
> See you around!
>
> Jes๚s.
>
>
>
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> ----------
> From:  Rosemary Manning[SMTP:manning@...]
> Sent:  Thursday, July 29, 1999 4:42 PM
> To:  ds-workshop-announce@...
> Cc:  manning@...
> Subject:  Announcement and Registration for FA/99 Dynamical Systems &
> Related Topics Workshop at Penn State
>
>
> *IMPORTANT:  For attendance of this conference, please fill out the
> registration form at the end of this announcement and e-mail it to
> the conference secretary, Ms. Rosemary Manning at < manning@...
> >.
>
> QUESTIONS:  (Please Do Not reply to my mailing list address above.)
> Instead, send any questions to < dsws@... > or see the URL
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Dynamical
>
> Systems".  Thank you!
> ************************************************************************
>
> 	   "DYNAMICAL SYSTEMS AND RELATED TOPICS WORKSHOP"
>
> 		 October 21-24, 1999
>
> 		            Penn State
>
> 		  Atherton Hotel, State College, PA
>
>
> This is the tenth Penn State meeting in a series of regular
> semiannual meetings dedicated to recent results in the theory of smooth
> dynamical systems, ergodic theory, symbolic dynamics, topological
> dynamics, Hamiltonian mechanics, and related areas in differential
> geometry, differential equations and Lie theory.  This semiannual
> workshop is sponsored jointly by Penn State and the University of
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>
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> Hilton), at 125 South Atherton Street.  Most participants will stay at
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>
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>
> For information about the workshop, contact: dsws@...
> or see the workshop homepage at URL
>
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>
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> information, including travel information and general information about
> State College.
>
> Preliminary schedule of talks will be available in September.
>
> Mark Levi/Organizer 	     levi@...
> Yakov Pesin/Organizer        pesin@...
> Gregory Swiatek/Organizer    swiatek@...
> Howie Weiss/Organizer      weiss@...
>
> Rosemary Manning/Conference Secretary  manning@...
>
> *******************************************************************
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>
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>  ----------------------------cut here-----------------------------
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>
> 	   DYNAMICAL SYSTEMS & RELATED TOPICS WORKSHOP
> 		 October 21-24, 1999
>
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> Penn State University
> University Park, PA 16802  U.S.A.
>

Hi, chaotic people!

My name is Jesus, and I am an economist working/studying (one never stops
studying)
in the Institute for Advanced Studies, in Vienna.
Among my many and very diverse interests, applications of chaos
theory to economics holds a privileged place, so I guess it will be interesting
to
  share ideas in this mailing list.

Nice to be around!

If you want to have a look at my homepage, it is

http://w3.ihs.ac.at/~crespo

, and if you were, by chance, interested in any of my research outputs, please
let me know.

See you around!

Jes๚s.

Welcome  Junling!!

Be free to write what you prefer about yourself.
This is a ML just formed, but I hope it could become a good point of
referement
for everyone passionality fond of chaos theory, chaos research, and any
field of application.

write back soon

Simone

I had this idea to create a new mailing list which could receive from all
over the world where
there is something concerned chaos theory and its reseraches, all
informations, suggestments,
new ideas, and so on. The purpose is to exchange all this kind of
informations, to stimulate discussions,
to know each other for a common project thinking that all it has been
discovered about chaos and
everything has to be 'catch' could be interesting for every field of
application, seen that maybe there is a common law for every research in
any field.

Simone

p.s. maybe is better chaostheory anyway this is the name of the list! :)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Caramel Simone
via Doberd๒ 3
31020 -  Fontane di Villorba
Treviso - Italy
tel. +39  0422   420564      home
       +39  0338   8129030    mobile
       +39  0422   300792      work
http://users.iol.it/canziani.ado
e-mail:
        adothepoet@...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Welcome Sebastiano!
I had this idea, I hope it is a good idea.
We can verifty that day by day.
Simone

~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Caramel Simone
via Doberd๒ 3
31020 -  Fontane di Villorba
Treviso - Italy
tel. +39  0422   420564      home
       +39  0338   8129030    mobile
       +39  0422   300792      work
http://users.iol.it/canziani.ado
e-mail:
        adothepoet@...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Benvenuto zaz66@... a questa nuovissima ML.
Non so il tuo nome, comunque il mio ่ Simone e sono di Treviso.
Tu sei il primo iscritto, e sono molto lieto di sapere che ti interessi di
caos, qualsiasi
sia il campo di applicazione al quale tu lo riferisci.
Qualsiasi suggerimento, novitเ, introduzione, proposta ่ sempre ben
accetta,
ed il mio pensiero, visto che il caos ben si presta ad un approccio
multidisciplinare,
่ che l'interazione e lo scambio di informazioni tra i diversi e svariati
ambiti non possa che
far bene ed essere di grosso aiuto per gli sforzi che si stanno compiendo
in questa direzione
in questi ultimi anni.
Io mi sono laureato in economia con una tesi basata sulle dinamiche
caotiche, ma tutto cio' che
riguarda il caos a partire dalla biologia, dalla chimica, dalla fisica,
fino alle recenti analogie tra
caos, DNA e il tao (vedi I ching) ่ senz'altro stimolante per qualsiasi
tipo di ricerca, e l'aspetto
suggestivo ่ che discipline che storicamente sono sempre state pensate
lontane anni luce una dall'altra, sono in realtเ legate da un filo comune e
da un ordine
universale.
Ciao, e scrivi pure liberamente.

Simone
----------
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