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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
temporal and spatial patterns of rat exploratory behavior have been used to discriminate among stimulant drug effects (Paulus et al, 1990; Paulus and Geyer, 1992). Similar computations involving the symbolic dynamics and disallowed transitions have been used to study the complexity of the the EEG (Xu, 19
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
occupancy of these possibles, the probables, form the bases for the computation of these two kinds of entropies. For example, the work of Paulus and Geyer showed that the administration of a very small amount of stimulant drug, compared with a salt water control, led to an increase in the first measure
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
cal aphorism that captures the fresh spiritual state of each moment’s openness and readiness, the in- between entropies for new information surprise. Geyer and Martin Paulus found that entheogenic agents such as Ecstasy also increased the complexity of the patterns of spontaneous motor movement made by r
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