Chaos Quotes
Septima Clark (in the book by Brian Lanker) (1989) "I DREAM A WORLD: Portraits of Black Women Who Changed America", Stewart, Tabori & Chang, NY.
For those interested in this website
This website
is directed at people who are interested in dynamic systems in
everyday life, especially from an economical point of view. An important point
to emphasize is that the approach here is entirely a personal one and is NOT academic.
Most of the material
written in this website is innovative and original and it is for the surfer to
read it and judge.
Many of you will understand a small fraction of the website’s content, and a few will understand a lot, but the website is meant to interest a wide range of people. Those lacking the relevant education will do with the photos and graphs that speak for themselves. Those with the relevant education will enjoy the presentation, which on the surface is quite abstract, straightforward and challenging.
For example, Tamari’s Attractor is a system of equations that, so the author believes, controls the economy of every country. Each country has its own specific parameters. It is possible, using this system of equations, to analyzed and predict each state's economy and compare the economy of one to another on the same basis.
The website is written in a very condensed manner – introducing only the very essential. Those readers who wish to delve deeper into these subjects will refer to the many relevant books and links that are presented in the website or use Google or Wikipedia.
The Website consists of 9 pages. The first page (home-page) is an introductory one and opens the site, the last page introduce the author. The remaining 7 pages deal with various subjects in 3 categories (chaos, economics and evolution). Each page functions as a separate unit, stands on its own, and brings the author's contribution to the subject. Since the content of this website is basically theoretical, it has been made as simple and as user-friendly as possible.
The 7 pages:
Chaos:
Patterns
page shows patterns and fractals phenomena in nature.
Attractors
page shows the main
attractors in chaos literature, including the Tamari Attractor.
Economics:
Ecometry
page presents the writings
of Ben Tamari, and his method of analyzing and forecasting the economic
of countries.
Economic Simulator
which enables the study of the
economy of a country by the software
Eco .
Stocks
page introduces
the Speculative Cycles which can be found empirically in stock markets.
Evolution:
Form
page presents the human body, the head, the brain, and
also dreams from the fractalization point of view.
Metaphors page
shows the importance of mental pictures in creating
new ideas.
Introduction
Chaos
theory is a popular name for the theory of Dynamical Systems (DS), mainly
for non-linear systems (Scientifically: The chaotic
DS characterized by sensitivity to initial conditions. This sensitivity
allows only for short-term forecast, not beyond that - such as weather forecast,
for instance - although we are dealing here with a deterministic systems which
are describable through mathematical equations. Being such, it should have
appeared as an orderly system but it actually appears as lacking order, that is,
chaotic.) The theory covers
many aspects of the life of DS, all of them have the same characteristics, they
were born, they lived and they died.
Books
Auyang T. S. (1998) "Foundations of Complex-System Theories In Economics, Evolutionary Biology, and Statistical Physics", Cambridge UP.
Bak P., "How Nature Works: the science of self-organized criticality", 1997, p. 31, Cambridge University Press.
Banks J., Dragan V., Jones A., (2003) "Chaos: A Mathematical Introduction", Cambridge UP
Burger E. B. & Starbird M. (2005) "Coincidences, Chaos, and All That Math Jazz", W.W. Norton & company, NY.
Chapman R. and Sprott J. C. (2005) "Images of a Complex World", include CD, World Scientific.
Capra F. (1996) "The Web of Life", Anchor Books.
Ching-Yao Hsieh and Meng-Hua Ye (1991) "Economics, Philosophy and Physics", ME Sharpe, N.Y.
GyÖrgy D. (2007) "Symmetry", Birkhäuser.
Edwin A. A. (1884) "Flatland", Princeton UP 1991.
Feder J. (1988) "Fractals", Plenum Press.
Frame and Mandelbrot, editors, (2002) "Fractals, Graphics, and Mathematics Education", The Mathematical Association of America.
Gleick J. (1987) "CHAOS - Making a New Science", New York: Viking.
Gleick and Porter (1990) "Nature's Chaos", Little, Brown and Company.
Hall N. (editor) (1991), "Exploring CHAOS", W.W. Norton & Company, N.Y..
Hilborn R. C. (1994) "Chaos and Nonlinear Dynamics", Oxford UP.
Holden A.V. (editor) (1986) "Chaos", Princeton UP.
Kauffman S.A. (1993) "The Origins Of Order", Oxford University Press.
Lesmoir-Gordon N. (2004) "The Colours of Infinity: The Beauty, The Power and the Sense of Fractals", include CD, Clear Books.
Lorenz N. Edward (1993) "The Essence of Chaos", University of Washington Press.
McCouley J. L. (1993) "Chaos, Dynamics, and Fractals", Cambridge.
Marks-Tarlow Terry (2008) "Psyche's Veil: Psychotherapy, fractals and complexity", Routledge.
Mira C. (1987) "Chaotic Dynamics", World Scientific.
Mirowski P. (1989) "More Heat Than Light: Economics as Social Physics, Physics as Nature's Economics", Cambridge University.
Moon F. C. (1987) "Chaotic Vibrations", John Wiley & Sons, N.Y..
Ott E. (1993) "Chaos in Dynamical Systems", Cambridge.
Pickover C. A. (1990) "Computers, Pattern, Chaos and Beauty", St. Martin's Press, N.Y..
Pickover C.A. (1999) "Surfing Through Hyperspace", Oxford UP.
Prigogine I. (1980) "From Being To Becoming", W. H. Freeman And Company.
Reichl L.E. (1992) "The Transition to Chaos", Springer-Verlag.
Rucker R. v. B. (1977) "Geometry, Relativity and the Fourth Dimension", Dover.
Sardar Z. and Abrams I., (1998) "Introducing Chaos", Icon Books UK.
Schroeder M. (1991) "Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise", W. H. Freeman and Com. N.Y..
Seydel R. (1988) "From Equilibrium To Chaos", Elsevier.
Shaw W. T. (2006) "Complex Analysis with MATHEMATICA®" Cambridge UP.
Sornette D. (2006) "Critical Phenomena in Natural Sciences" 2ed., Springer.
Ward M. (2001) "Universality, The Underlying Theory behind Life, the Universality and Everything", MacMillan.
Weeks J.R. (2002) 2ed. "The Shape of Space", 2002, Marcel Dekker, Inc. New York.
Wegner T. and Tyler B. (1993) "Fractal Creations", 2ed, Waite Group Press.
Wiener N. (1954) "The Human Use of Human Beings", Da Capo Press.
Zaslavsky G.M. (1985) "Chaos in Dynamic Systems", translated from Russian by Kisin V.I., Harwood AP.
Links
Index
http://directory.google.com/Top/Science/Math/Chaos_and_Fractals/
http://dmoz.org/Science/Math/Chaos_and_Fractals/
http://www.fractal.org/Bewustzijns-Besturings-Model/Fractal-Links.htm
http://mathres.kevius.com/art.html
http://mathforum.org/library/view/62158.html
http://spanky.triumf.ca/www/whats-new.html
www.student.math.uwaterloo.ca/~pmat370/FractalRefs.html
Learning
http://classes.yale.edu/fractals/
http://en.wikipedia.org/wiki/Fractals
http://www.geocities.com/fabioc/
http://www.fractalfoundation.org
http://local.wasp.uwa.edu.au/~pbourke/fractals/
http://math.bu.edu/DYSYS/dysys.html
http://math.rice.edu/~lanius/frac/
Mathematic
www.3dfractals.com
.
http://hypertextbook.com/chaos/
http://klein.math.okstate.edu/IndrasPearls/
Science
www.around.com/chaos.html (Gleick)
http://www.chaos.umd.edu/
http://chaos.aip.org/
www.elumenati.com/id/street_science
http://www.gutenberg.org/files/20417/20417-h/20417-h.htm
www.math.uwaterloo.ca/~wgilbert/FractalGallery/FractalGallery.html
http://mathworld.wolfram.com/Chaos.html
(Wolfram)
http://nlds.sdsu.edu/index.html#restoration
www.pha.jhu.edu/~ldb/seminar/index.html
www.pickover.com
http://star.tau.ac.il/~eshel/Bio_complexity/2.Dynamical%20Systems/intro_to_chaos.ppt
http://139.78.112.6/IndrasPearls/Wonders/
