Farey-Fraction Frequency Modulation in the Neuronlike Output of Silicon p-i-n Diodes at 4.2 K

D. D. Coon and S. N. Ma
Department of Physics, University of Pittsburgh, Pittsburgh, PA 15260

A. G. U. Perera
Department of Physics and Astronomy, Georgia State University, Atlanta, GA 30303

ABSTRACT
The first temporal analysis of spontaneous pulsing of dc-biased, p-i-n diodes in RC circuits is reported. Time intervals T_n between successive pulses in spike trains with durations up to 30 h are analyzed as a function of n. Temporal patterns depend on bias voltage and are characterized by symmetric sets of Farey-fraction frequencies associated with remarkably narrow peaks in power spectra. Resolution permitted identification of 115 of the 129 Farey fractions with period less than or equal to 40. A rule involving fractions appearing in this system and other nonlinear systems is proposed. © 1987 The American Physical Society

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