A quantized chaotic spiking oscillator: analysis and implementation

A spiking oscillator generates a chaotic pulse-train governed by a pulse position map. Applying a higher frequency periodic input, the pulse positions are restricted on a lattice and the map is quantized. Then the original chaotic pulse-train is changed into a set of co-existing various super-stable periodic pulse-trains (SSPTs) and the oscillator outputs one of them depending on the initial state. In order to characterize the set, we elucidate the number and the minimum pulse interval of the SSPTs theoretically. Presenting a simple test circuit, we verify typical phenomena in the laboratory