Farey-fraction frequency modulation in the neuronlike output of siliconp-i-ndiodes at 4.2 K

Abstract
The first temporal analysis of spontaneous pulsing of dc biased, p-i-n diodes in RC circuits is reported. Time intervals Tn 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 40. A rule involving fractions appearing in this system and other nonlinear systems is proposed.