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.

引用

页数：10

共 35 条

[11] Active transport in biological membranes and stochastic resonances
Fulinski, A
[J]. PHYSICAL REVIEW LETTERS, 1997, 79 (24) : 4926 - 4929
[12] Stochastic resonance in ion channels characterized by information theory
Goychuk, I
Hänggi, P
[J]. PHYSICAL REVIEW E, 2000, 61 (04): : 4272 - 4280
[13] Dynamical complexity of FitzHugh-Nagumo neuron model driven by Levy noise and Gaussian white noise
Guo, Yongfeng
Wang, Linjie
Dong, Qiang
Lou, Xiaojuan
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 181 : 430 - 443
[14] Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Levy noise and Gaussian white noise
Guo, Yongfeng
Wang, Linjie
Wei, Fang
Tan, Jianguo
[J]. CHAOS SOLITONS & FRACTALS, 2019, 127 : 118 - 126
[15] STOCHASTIC RESONANCE IN A SUPERCONDUCTING LOOP WITH A JOSEPHSON-JUNCTION
HIBBS, AD
SINGSAAS, AL
JACOBS, EW
BULSARA, AR
BEKKEDAHL, JJ
MOSS, F
[J]. JOURNAL OF APPLIED PHYSICS, 1995, 77 (06) : 2582 - 2590
[16] Stochastic Resonance in a Molecular Redox Circuit
Hirano, Yoshiaki
Segawa, Yuji
Kawai, Tomoji
Matsumoto, Takuya
[J]. JOURNAL OF PHYSICAL CHEMISTRY C, 2013, 117 (01) : 140 - 145
[17] Signal detection statistics of stochastic resonators
Inchiosa, ME
Bulsara, AR
[J]. PHYSICAL REVIEW E, 1996, 53 (03) : R2021 - R2024
[18] Stochastic resonance in coupled oscillator systems with time delay
Kim, S
Park, SH
Pyo, HB
[J]. PHYSICAL REVIEW LETTERS, 1999, 82 (08) : 1620 - 1623
[19] Synchronized firing of FitzHugh-Nagumo neurons by noise
Kitajima, H
Kurths, J
[J]. CHAOS, 2005, 15 (02)
[20] Non-Gaussian noise induced stochastic resonance in FitzHugh-Nagumo neural system with time delay
Li, Shenghong
Huang, Jiwei
[J]. AIP ADVANCES, 2020, 10 (02)

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