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1864 Steriade, M., McCarley, R.W. (1990) Brainstem Control of Wakefulness and Sleep. Plenum. N.Y. 289 HOUSE_OVERSIGHT_013789 Stillwell, J. (1985) Poincare’s Papers on Fuchsian Groups. Springer-Verlag, N.Y. pp 1-50 Stockbridge,L.L., French,A.S. (1989) Characterization of a calcium-activated potassium ch
ormly divergent (and convergent), “hyperbolic” chaotic systems, such as brain systems, behave in Euclidean space, an intuitive similarity about which Poincare experienced his famous vacation bus trip epiphany (Stillwell, 1985). It should also be noted that encoding neural spike trains in one dimension for s
elbrot, B.B. (1975) Les Objets Fractals:Forme, Hasard et Dimension. Flammarion. Paris Mandelbrot, B.B. (1977) Fractals; Form, Chance and Dimension. Freeman. N.Y. Mandelbrot, B.B. (1977) Fractals: Form, Chance and Dimension, Freeman. San Francisco Mandell, A.J. (1983) From intermittency to transitivity
context of mathematical epistemology, the instantaneous images of a geometer contrast with the labored sequential logic of the mathematical analyst. Poincare’ claimed that inclinations toward one or the other of these two cognitive styles and their associated mathematical tools arise from different kinds o
of Science, Essential Writings of Henri Poincare’ Stephen Jay Gould, Modern Library, Random House, N.Y. 2001 From Being to Becoming, /lya Prigogine, Freeman, San Francisco, 1980 The Development of Mathematics, E. 7. Bell, McGraw Hill, N.Y. 1945 Deterministic Chaos, An Introduction, Heinz, George Schuste
blished a model of it through internal reconstructions of sequential sensory experiences that_accompanied our exploratory movements. A world. It was Poincare’s habit to topologize the dynamics of motion in mathematical problems that lacked analytic solutions. In this way, simple algebraic operations repla
ianity. C-S. Lewis. MacMillan, N.Y. 1952. Sacred Geometry. Miranda Lundy. Walker, N.Y. 1998. Fractals, Form, Chance and Dimension, B.B. Mandelbrot, Freeman, San Francisco, 1977. Non-Euclidean Geometry, H.S.M. Coxeter, University of Toronto Press, Toronto, 1957. Fundamentals of Mathematics, Vol. |. H. B
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