Style as mechanism: from man to a map of the interval and back

Karen A. Selz; Arnold J. Mandell M.D.

doi:10.1117/12.162710

5 November 1993 Style as mechanism: from man to a map of the interval and back

Karen A. Selz, Arnold J. Mandell M.D.

Proceedings Volume 2036, Chaos in Biology and Medicine; (1993) https://doi.org/10.1117/12.162710
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Human subjects performed a set of mouse-driven computer tasks that required them to `remove dots from the screen' under fast and slow dot return (redraw) conditions. The binary partition of the 1D phase space generated a shift map, (sigma) , on two symbols. Assuming this sequence to be the symbolic dynamic product of a parametrized, symmetric tent map, the parity sequence associated with (sigma) was used in an inverse autoexpansion to recover the tent height parameter, (mu) , with 1 <EQ (mu) <EQ 2. We obtained a single convergent (mu) value for most subject sequences. In the case of T(mu) (X), the topological entropy is equal to the height of the tent, h_T equals (mu) , and is monotonic increasing with respect to (mu) . We, therefore, may order the subjects (with convergent (mu) 's) in terms of the orbital complexity made available to them by their associated (mu) equals h_T values. The distribution of (mu) 's in the sample could not be distinguished from a normal distribution. Linear multiple regression models (with higher order terms) were built, significantly relating (mu) _f (fast redraw), (mu) _s (slow redraw), and (mu) _d equals ((mu) _f - (mu) _s) to established quantitative personality variables. The subject-map equivalence used here also allows the extension of sample lengths (unavailable in the experimental setting) in self-initiated tasks with widely differing N, while preserving topological properties of the subjects' performance.

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Karen A. Selz and Arnold J. Mandell M.D. "Style as mechanism: from man to a map of the interval and back", Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); https://doi.org/10.1117/12.162710

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