Reverse aperiodic resonance in low- to high-dimensional bistable systems: A complement to stochastic resonance studies in logic circuits

• A novel 3D coupling model offers enhanced adjustable parameters and coupling effects compared to traditional 1D and 2D nonlinear models . • The dynamic behavior of the 3D model is systematically analyzed using equilibrium points and stability theory. • Reverse aperiodic resonance reveals a unique noise-induced phase reversal and amplitude amplification. • The mechanism of reverse aperiodic resonance is explained through the motion of Brownian particles in a bistable potential well. • The reverse aperiodic resonance indicates insights distinct from traditional resonance effects. As circuits continue to shrink in size, noise has emerged as a critical challenge in achieving optimal performance. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations are limited to basic logical functions such as OR, AND, NOR, and NAND, restricting broader applications. This paper introduces a three-dimensional (3D) coupling model to investigate the counterintuitive phenomena that arise in nonlinear systems under noise. Compared to the one-dimensional Langevin equation and the two-dimensional Duffing equation, the 3D coupling model features more adjustable parameters and coupling interactions, enhancing the system's dynamic behavior. The study demonstrates that increasing noise intensity triggers reverse aperiodic resonance, leading to signal phase reversal and amplitude amplification. This phenomenon is attributed to the motion of Brownian particles in a bistable potential well. Additionally, reverse aperiodic resonance addresses the lack of logical negation in traditional stochastic resonance systems by introducing noise-driven phase reversal, providing a novel alternative to conventional inverters.