4.7 Article

Logical vibrational resonance in a symmetric bistable system: Numerical and experimental studies

出版社

ELSEVIER
DOI: 10.1016/j.cnsns.2023.107123

关键词

Logical vibrational resonance; Bistable system; Anharmonic signal; Saddle-node bifurcation; Nonlinear circuit

向作者/读者索取更多资源

In this study, we replace the bias parameter with an anharmonic signal with a constant component in the Fourier series to induce logical vibrational resonance and solve the problem of maintaining system symmetry. We add an anharmonic low-frequency signal as a slowly-varying signal and another high-frequency signal as a fast-varying signal in the symmetric bistable system. Through numerical simulation, we find the optimal logic output region and explain it using bifurcation theory. The simulation results are further verified by a hardware circuit, showing the occurrence of logical vibrational resonance in the symmetric bistable system and its necessary condition.
In previous studies, double harmonic signals as external driving forces have been used for inducing logical vibrational resonance to facilitate the control of logic operations. It requires the bias parameter to break the symmetry of the bistable system. In hardware circuits, symmetric bistable system circuits are easy to build and even using few components. To address the problem of maintaining the symmetry of the system while inducing the logical vibrational resonance, we take advantage of the property that an anharmonic signal with a constant component in the Fourier series can replace the bias parameter to induce logical vibrational resonance. We add an anharmonic low-frequency signal to the symmetric bistable system as a slowly-varying signal. In addition, we add another high-frequency signal as a fast-varying signal. Through numerical simulation, we find the optimal logic output region of the system and the logic output region is explained by using bifurcation theory. Then, noise is added to the system to demonstrate its effect on the optimal logic output region. Finally, the simulation results are further verified by a hardware circuit. Both simulation and experimental results prove the occurrence of logical vibrational resonance and its necessary condition in the symmetric bistable system.(c) 2023 Elsevier B.V. All rights reserved.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据