Reconfigurable logical stochastic resonance in a hyperbolic one-site lattice with variable-barrier potential

Logical stochastic resonance (LSR) system is a physical system capable of performing robust reconfigurable logical operations in the presence of background noise using specific nonlinearities. Traditional LSR systems are typically based on polynomial nonlinearities, which make them suitable for implementation by electronic components. However, there has been little research on LSR systems based on hyperbolic nonlinearities which have the potential to be realized directly using the physical properties of materials. Inspired by the kink-bearing potential related to phonon nonlinear excitation, we propose an LSR system based on a hyperbolic one-site lattice (HOL) for the first time in this study. The performance of the HOL-based LSR (HOL-LSR) system is investigated under both noise-free and noisy conditions. Moreover, assisted by a bionic optimizer, we compare the performance of the proposed HOL-LSR and traditional quadstable LSR (QLSR) system under the influence of Gaussian white noise and Levy pulse. The results demonstrate the existence of parameter-induced LSR effects in the HOL-LSR system. In addition, with only Gaussian white noise, the performance of the HOL-LSR and QLSR systems is comparable. However, when the background noise contains pulse components, the robustness of the HOL-LSR system is significantly stronger than that of the QLSR system. These results prove the superiority of HOL-LSR system over traditional LSR and encourage the construction of LSR systems directly based on material with hyperbolic property.