Digital Implementation of Lorenz Equations Using Logical Gates for Algorithmic Strange Attractors

The Lorenz system is a classic chaotic system exhibiting the butterfly effect and strange attractor behavior. In this paper, we propose a digital implementation of the Lorenz equations using logical gates. We map derivative, difference, multiplication, and addition operations to digital equivalents—previous step feedback, XOR, AND, and OR gates respectively. This allows the construction of a fully digital, discrete-time chaotic system capable of exploring complex state spaces and demonstrating algorithmic strange attractor behavior.