Theoretical design and circuit implementation of integer domain chaotic   systems
  In this paper, a new approach for constructing integer domain chaotic systems (IDCS) is proposed, and its chaotic behavior is mathematically proven according to the Devaney's definition of chaos. Furthermore, an analog-digital hybrid circuit is also developed for realizing the designed basic IDCS. In the IDCS circuit design, chaos generation strategy is realized through 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 circuit implementation. The experimental observations further validate the proposed systematic methodology for the first time. 
Qianxue Wang and Simin Yu and Christophe Guyeux and Jacques Bahi and   Xiaole Fang
nlin.CD cs.CR math.DS nlin.PS