Integer Domain Chaotic Systems (IDCS)

Abstract

The approach followed to build integer domain chaotic systems (IDCS) is presented in this chapter, and its mathematical chaos behavior demonstrated using the Devaney’s definition. Then, an analog-digital hybrid circuit is designed, to realize in practice a first basic IDCS. In this circuit design, the strategy generation is achieved thanks to a sample-hold circuit and a decoder circuit, so as to convert the uniform noise signal into a random sequence, which plays a key role in the circuit implementation. The proposed systematic methodology is further validated by experimental observations.