We investigated the FitzHugh-Nagumo neural system driven by non-Gaussian noise. The expressions of the stationary probability distribution and the mean first-passage time are obtained through the path-integral approach and the unified colored noise approximation. The results show that the intensity of additive noise can induce phase transition,while the intensity of multiplicative noise,the derivation parameter and the correlation time cannot. The non-Gaussian noise shortens transformation time between resting state and excited state and is beneficial to transmission of information in neural system.
The interval element-free Galerkin method (IEFGM) is proposed to analyze a bi-material cantilever beam, which is an interfacial mechanics problem including uncertain parameters. Interval method could be applied to study the influences of the uncertain parameters on structural responses. The IEFGM could be used to approximate the displacement fields without depending on meshes. Combining these two methods, the interval equilibrium equations are derived, and a method of dealing with the discontinuities on the interface is introduced.
We investigated the stochastic resonance for dichotomous noise in a second derivative linear system, measured the average to get the amplitude gain of the output signal, and studied its relationship with the frequency of the system, the frequency of the signal, the strength and correlation time of noises. The amplitude gain of the output signal shows a nonmonotonic dependence on these factors, and the parameter of the dichotomous noise effects the peak value of stochastic resonance.
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