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with active (REM) sleep in fetal sheep: presence of recurrent fractal organization. Brain Res. 787:351-357 Arnold, V.|. (1984) Catastrophe Theory. Springer-Verlag. N.Y. Arnold, V.|., Avez, A. (1968) Ergodic Problems in Classical Mechanics. Addison- Wesley. Redwood City, CA Babloyantz, A. (1986) Evidence of ch
. (1986) Evidence of chaotic dynamics of brain activity during the sleep cycle. In (ed. Mayer-Kress, G) Dimensions and Entropies in Chaotic Systems. Springer-Verlag, 1986 252 HOUSE_OVERSIGHT_013752 Babloyantz, A., Destexhe, A. (1986) Low dimensional chaos in an instance of epilepsy. Proc. Natl. Acad. Sci. 83:3
ence for synergetic dynamics in a mammalian pituitary cell perfusion system in (ed. E.Basar, H. Flohr, H. Haken, A.J. Mandell) Synergetics of Brain. Springer-Verlag. pp 155-162 Gupta, V., Suryanarayanan, S., Reddy, N.P. (1997) Fractal analysis of surface EMG signals from the biceps. Int J Med Inf 45:185-192 Guz
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
Press, Oxford, 1994 62 HOUSE_OVERSIGHT_013562 The Shape of Space, Jeffrey Weeks, Dekker, NY, 1985 The Topological Picture Book, George K. Francis, Springer-Verlag, NY 1988 Mathematical Models of Morphogenesis, Rene Thom, Wiley, NY 1983 Catastrophe Theory, Selected Papers, 1972-1977, Christopher Zeeman, Addison
spects of Neurological Disease, D. Frank Benson and Dietrich Blumer, Grune and Straton, N.Y. 1975. Mathematics —The Music of Reason, Jean Dieudonne, Springer-Verlag, N.Y. 1991 Mathematics for the Liberal Arts, F. Richman, C.L. Walker, R.J. Wisner and J.W Brewer, Simon and Schuster, N.Y. 1998 The Feynman Lecture
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
tion, time as recorded as the number of small pouring events may stretch. In aa comparable system, as elegantly described by Detrich Stauffer in his Springer-Verlag book on percolation, multiple hot spots in the woods can suddenly fuse into a forest fire. Isaiah said, “...glorify the Lord in the growing fires of
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
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