The chaotic properties and circuit design of a generalized high-dimensional integer-domain system

The purpose of this study is to formulate an innovative approach for creating a higher -dimensional digital chaotic system (HDDCS) within the realm of finite precision. The suggested methodology revolves around generating random sequences to regulate the emergence of chaotic behavior. Rigorous mathematical proofs of the chaotic characteristics of the HDDCS are given, and the nonlinear characteristics of HDIDS are demonstrated by examples. Furthermore, an analog-digital hybrid circuit is developed to design the generalized HDIDS. This study offers substantial theoretical support for the chaotic nature of the HDIDS, and validates the feasibility of chaotic circuit design by simulation.