Reverse Aperiodic Resonance in Low- to High-Dimensional Bistable Systems: A Complement to Stochastic Resonance Studies in Logic Circuits

TL;DR

This paper explores reverse aperiodic resonance in high-dimensional bistable systems, revealing how noise can induce phase reversal and amplitude amplification, offering new insights for logic circuit design beyond traditional stochastic resonance.

Contribution

It introduces a 3D coupling model to study reverse aperiodic resonance, demonstrating noise-induced phase reversal as a novel mechanism for logic operations.

Findings

Noise intensity triggers reverse aperiodic resonance.

Reverse resonance causes phase reversal and amplitude amplification.

The 3D model offers enhanced dynamic control over bistable systems.

Abstract

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. 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.