非高斯噪声作用的非对称双稳耦合网络的随机共振OA

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.