Rotation Map with a Controlling Segment: Basic Analysis and Application to A/D Converters

This paper studies the rotation map with a controlling segment. As a parameter varies, the map exhibits superstable periodic orbits, chaos and rich bifurcation phenomena. The map is applicable to an A/D converter having efficient resolution characteristics. The converter can be realized as a circuit model based on a spiking neuron and the rate-coding. Presenting a test circuit, basic operation is confirmed experimentally. key words: Rotation, bifurcation, analog-to-digital converters, superstable periodic orbit