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e impressions of others can arise quickly and from only a few data points of observation. In the late 1960’s, University of California mathematician, Rufus Bowen, proved the now famous shadow theorem. This says that in dynamical states of hyperbolicity, directly observable on the screen in computer simulations
g 7:809-888, 1986. Thermodynamics, Enrico Fermi, Dover, N.Y. 1956. Thermodynamics and Statistical Mechanics, Peter T. Landsberg, Dover, N.Y. 1978. Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces, T. Bedford, M. Keane and C. Series, Oxford, Oxford, 1991. The Mathematical Theory of Communication, Claude
1968), the French mathematicians, Rene Thom (1972) and David Ruelle (1978) and the U.C. Berkeley mathematicians, Steve Smale (1967) and his student, Rufus Bowen (1975), and their associates who gathered together these and other related computational discoveries and embedded them in a qualitative theory of non
r, Ann. N.Y. Acad. Sci. 929:123- 146. Mixing properties in Human Behavioral Style, Karen A. Selz, U.M.I., Ann Arbor, MI. 1992 Dynamical Systems and Ergodic Theory, M. Pollicott and M. Yuri, London Mathematical Society, 1998. Introduction to the Modern Theory of Dynamical Systems, A. Katok and B. Hasselblatt, C
y, R.M. (1990) Nonlinear forcasting as a way of distinguishing chaos from measurement error in time series. Nature 344:734-741. Sullivan, D. (1979) Rufus Bowen. Publ. Math. |.H.E.S. 50:255 Szeto, H.H., Cheng, P.Y., Decena, J.A., Cheng, Y., Wu, D., Dwyer, G. (1992) Fractal properties in fetal breathing dynam
17:1179-1196 Cooper, N.G. (1987): From Cardinals to Chaos, Cambridge University Press, Cambridge. Cornfield, |.P., Fomin, S.V., Sinai, Ya.G. (1982) Ergodic Theory. Springer-Verlag. Berlin Crevier,D.W., Meister,M (1998): Synchronous period-doubling in flicker vision of salamander and man. J Neurophysiol. 79:18
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