四川大学学报（自然科学版）2026，Vol.63Issue(4)：843-850,8.DOI:10.19907/j.0490-6756.240193
非高斯噪声作用的非对称双稳耦合网络的随机共振
Stochastic resonance in asymmetric bistable coupled network subjected to non-Gaussian noise
摘要
Abstract
In this paper,stochastic resonance in an N-dimensional asymmetric bistable coupled network sys-tem subjected to both harmonic signal and non-Gaussian noise is considered by using signal-to-noise ratio(SNR)as the measure.First,a simplified low-dimensional model for the coupled system is deduced based on the mean field theory.Second,the Langevin equation of the simplified model is obtained by using the path in-tegral method,the equivalent nonlinearization method,Gaussian approximation and the slaving principle.Ex-act expression of SNR is deduced by using the Fokker-Planck equation based on the two-state model theory.Finally,the SNR measure is adopted to investigate the effects of non-Gaussian noise,coupling constant,asymmetric constant and periodic signal on the stochastic resonance.The main results are as follow.i)There exists non-monotonous behavior in every SNR curve for system parameter,which indicates the occurrence of stochastic resonance;ii)Stochastic resonance is enhanced with the increase of non-Gaussian parameter,cor-relation time or intensity of the non-Gaussian noise.iii)The coupling constant can maximize the stochastic resonance.关键词
信噪比/非高斯噪声/非对称耦合网络系统/随机共振Key words
SNR/non-Gaussian noise/asymmetric bistable coupled network system/stochastic resonance分类
数理科学引用本文复制引用
李凌云,何美娟,兰宇婷..非高斯噪声作用的非对称双稳耦合网络的随机共振[J].四川大学学报（自然科学版）,2026,63(4):843-850,8.基金项目
国家自然科学基金(11602184) （11602184）
甘肃省科技计划项目(24JRRA226) （24JRRA226）
甘肃省基础研究创新群体项目(25JRRA805) （25JRRA805）
兰州市科技局青年科技人才创新项目(2024-QN-179) （2024-QN-179）
兰州交通大学"天佑青年托举人才计划"基金 （）
