Abstract

AbstractWhen a pulse series with fixed frequency is applied to a neuron model employing tunnel diodes, the firing frequency of the model increases with increasing pulsewidth. The relation between these two quantities can be described by an extended Cantor function. This is identical to the abnormal phenomenon which Harmon discovered experimentally with a neuron model using transistors. One of the authors derived the same result for Caianiello's neuron model which was given by nonlinear difference equations. The neuron model discussed in this paper is described by the first‐order nonlinear differential equation and two jump conditions. The authors predict that the Cantor characteristics can be found experimentally in actual nerve cells.

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