A 4-D chaotic oscillator based on a differential hysteresis comparator

A design approach for higher orders of chaotic systems is proposed. The chaotic oscillator presented is hierarchically modeled and simulated at the system, building-block, and circuit levels. The approach shows that the finite response times of hysteresis elements can be used to increase the order of differential hysteresis comparators. The hysteretic comparator demonstrated is a differential hysteresis which provides two orders of freedom and three possible output values. Experimental results are given for a triple-scroll chaotic oscillator constructed using a RC-opamp design approach. Results from the experimental four-dimensional system are In good agreement to theoretical results.