Theoretical design and circuit implementation of integer domain chaotic systems
This work addresses the problem of designing and implementing chaotic systems in integer domains for applications like secure communications or random number generation, representing an incremental advancement in circuit-based chaos realization.
The paper introduces a new method for constructing integer domain chaotic systems and mathematically proves their chaotic behavior, then designs and implements an analog-digital hybrid circuit to generate random sequences from uniform noise, with experimental validation confirming the approach.
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.