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ns of probability), we notice that /og70(0.5) = 0.693147 and /og70(0.25) = 1.386294 and that 0.693147 + 0.693147 = 1.386294. The dot-dash choices of Morse code machines, the go, no-go gates of transistors, the open versus closed ion channel-mediated neuronal membrane discharge and the left, right spins
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
mical system, such as nerve membrane equations as above, or in the aggregate, the middle layer of a completely connected neural network, can encode, Morse code-like, messages (Paulus et al, 1989). Bifurcations in Biologically Relevant Dynamical Systems Bifurcations, “splitting into (two) branches,” ar
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
ence not distance preserving ) representation of a difficult to characterize system of “geodesics on surfaces of negative curvature” (Hadamard, 1898; Morse, 1917; Morse and Hedlund, 1938). Geodesics here are the shortest lines in this curved, non-Euclidean space in which nearby lines spread apart and far
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
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