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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
nary report. Biol Psychol 31:173-191 Grimmett, G. (1989) Percolation. Springer-Verlag. Guckenheimer, J., Holmes, P. (1983): Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer. N.Y. Guillemin, R.C., Brazeau, P., Briskin, A., Mandell, A.J. (1983) Evidence for synergetic dynamics i
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
nt of Mathematics, E. 7. Bell, McGraw Hill, N.Y. 1945 Deterministic Chaos, An Introduction, Heinz, George Schuster, VCH, Weinheim, 1989 Lectures on Dynamical Systems, Structural Stability and their Applications, Kotic K. Lee, World Scientific, Hongkong, 1992 The Psychobiology of Behavioral Development, Ronald Gan
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
ding problem, W. Singer, 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 an
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