耦合高斯噪声背景下非线性系统随机共振研究  

Stochastic Resonance Studies of Nonlinear Systems in the Context of Coupled Gaussian Noise

作　　者：王超杰 吴明发[1] 张红蔚 毛利影 Wang Chaojie;Wu Mingfa;Zhang Hongwei;Mao Liying(Jiangxi Vocational College of Industry and Engineering,Pingxiang,China;Xiabu Town Central Kindergarten,Pingxiang,China;Qingfeng Senior High School affiliated to Central China Normal University,Qingfeng,China)

机构地区：[1]江西工业工程职业技术学院,江西萍乡 [2]下埠镇中心幼儿园,江西萍乡 [3]华中师范大学附属清丰高级中学,河南清丰

出　　处：《科学技术创新》2025年第8期9-12,共4页Scientific and Technological Innovation

基　　金：江西省教育厅科学技术研究项目一般项目“关于复杂系统的非线性行为研究”(GJJ2206612)。

摘　　要：随着模型复杂性和关联性增强,高维度模型更贴近现实,反映事物本质。因此本研究聚焦于耦合高斯噪声背景下非线性系统的随机共振。考虑耦合高斯噪声特性,建立非线性系统模型;优化系统参数补偿随机共振,探讨随机共振产生的条件和机制;模拟不同噪声强度下的系统响应,检测随机共振现象。实验表明,该方法能克服饱和限制,抗噪能力强,对多倍频信号检测性能良好,且在耦合高斯噪声环境下展现出更优的故障信号检测效能,适用于实际工程应用。With the increasing complexity and relevance of models,high-dimensional models are closer to reality and reflect the essence of things.Therefore,this study focuses on stochastic resonance of nonlinear systems in coupled Gaussian noise background.Considering the coupled Gaussian noise characteristics,a nonlinear system model is established.Optimize the system parameters to compensate stochastic resonance,and discuss the conditions and mechanisms of stochastic resonance generation.The random resonance phenomenon is detected by simulating the system response under different noise intensity.Experiments show that this method can overcome the saturation limit,has strong anti-noise ability,has good performance in detecting multi-frequency signals,and shows better fault signal detection efficiency under coupled Gaussian noise environment,which is suitable for practical engineering applications.

关 键 词：耦合网络系统 非线性系统 协同效应 随机共振 高斯噪声 

分 类 号：D26.4[政治法律—政治学]