The study on dynamical behavior of FitzHugh-Nagumo neural model under the co-excitation of non-Gaussian and colored noise

被引：2
作者：
Zhang, Gang [1 ]
Shu, Yichen [1 ]
Zhang, Tianqi [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Commun & Informat Engn, Chongqing 400065, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2022年 / 587卷
基金：
中国国家自然科学基金;
关键词：
Approximate Fokker-Planck equation; Non-Gaussian noise; Gaussian colored noise; FN neural model; STOCHASTIC RESONANCE; LEVY NOISE; SYSTEM DRIVEN; SIGNAL; STATE;
D O I：
10.1016/j.physa.2021.126551
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamical behavior of the one-dimensional FitzHugh-Nagumo (FN) neural model under the co-excitation of cross-correlation multiplicative non-Gaussian noise and additive colored noise are investigated in this paper. Firstly, the one-dimensional Langevin equation of the FN model can be obtained by using the adiabatic elimination method. Then, the approximate Fokker-Planck equation (AFPE) is derived with functional methods, and the expressions of steady-state probability density function (PDF) and the mean first-passage time (MFPT) are obtained. Finally, the effects of different parameters on PDF and MFPT are discussed as a reflection of the properties of the FN neural model. Moreover, under certain conditions, noise enhanced stability (NES) effects can be induced by noise. (C) 2021 Elsevier B.V. All rights reserved.
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页数：10
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