Basic analysis of a hyperchaotic spiking circuit with impulsive switching

Abstract

This paper studies a hyperchaotic spiking circuit that consists of a three-dimensional linear one-port, a state-dependent switch, and a time-dependent switch. The two switches are connected in series. Depending on parameters, the circuit can exhibit various spike-trains. In order to analyze the spike-trains, we introduce three tools: the return map, the histogram of inter-spike intervals, and the color recurrence plot of spike-trains. Using the tools, we analyze three typical phenomena: a periodic spike-train, a chaotic spike-train, and a hyperchaotic spike-train. Presenting a simple test circuit, the typical phenomena are confirmed experimentally.