Stochastic resonance induced by Gaussian white noise and Levy noise in simplified FitzHugh-Nagumo neural system

被引：13
|
作者：
Guo, Yongfeng [1 ]
Wang, Linjie [1 ]
Wei, Fang [1 ]
Tan, Jianguo [1 ]
机构：
[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
INDIAN JOURNAL OF PHYSICS | 2020年 / 94卷 / 10期
基金：
中国国家自然科学基金;
关键词：
FHN neural system; Levy noise; Stochastic resonance; Signal-to-noise ratio; PERIODIC SIGNAL; PATTERN-FORMATION; DYNAMICS; MODEL;
D O I：
10.1007/s12648-019-01606-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper aims to investigate the stochastic resonance (SR) of simplified FitzHugh-Nagumo (FHN) neuron system driven by Gaussian white noise and Levy noise. The Levy noise is generated by Janicki-Weron algorithm, and the numerical solutions of system equation are obtained by the fourth-order stochastic Runge-Kutta algorithm. Then, the SR is determined by the classical measure of signal-to-noise ratio (SNR). Finally, the effects of the Gaussian white noise, Levy noise and system parameters on SNR are discussed by means of numerical simulation. The results show that the larger stability index and skewness parameter are conducive to enhance signal response of FHN neural system; on the contrary, the increase in amplitude A and system parameter c weakens the occurrence of SR.
引用
收藏
页码：1625 / 1632
页数：8
相关论文
共 50 条
  • [31] Classical-like resonance induced by noise in a Fitzhugh-Nagumo neuron model
    Massanés, SR
    Vicente, CJP
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (12): : 2295 - 2303
  • [32] Parameter dependence of stochastic resonance in the FitzHugh-Nagumo neuron model driven by trichotomous noise
    Huiqing Zhang
    Tingting Yang
    Yong Xu
    Wei Xu
    The European Physical Journal B, 2015, 88
  • [33] Parameter dependence of stochastic resonance in the FitzHugh-Nagumo neuron model driven by trichotomous noise
    Zhang, Huiqing
    Yang, Tingting
    Xu, Yong
    Xu, Wei
    EUROPEAN PHYSICAL JOURNAL B, 2015, 88 (05):
  • [34] The FitzHugh-Nagumo equations and quantum noise
    Ghose, Partha
    Pinotsis, Dimitris A.
    COMPUTATIONAL AND STRUCTURAL BIOTECHNOLOGY JOURNAL, 2025, 30 : 12 - 20
  • [35] Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise
    D. Valenti
    G. Augello
    B. Spagnolo
    The European Physical Journal B, 2008, 65 : 443 - 451
  • [36] Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise
    Valenti, D.
    Augello, G.
    Spagnolo, B.
    EUROPEAN PHYSICAL JOURNAL B, 2008, 65 (03): : 443 - 451
  • [37] Spontaneous Activity Induced by Gaussian Noise in the Network-Organized FitzHugh-Nagumo Model
    Zheng, Qianqian
    Shen, Jianwei
    Xu, Yong
    NEURAL PLASTICITY, 2020, 2020
  • [38] Effects of Levy noise on the Fitzhugh-Nagumo model: A perspective on the maximal likely trajectories
    Cai, Rui
    He, Ziying
    Liu, Yancai
    Duan, Jinqiao
    Kurths, Juergen
    Li, Xiaofan
    JOURNAL OF THEORETICAL BIOLOGY, 2019, 480 : 166 - 174
  • [39] α-stable noise-induced coherence on a spatially extended Fitzhugh-Nagumo system
    Wang, Zhanqing
    Xu, Yong
    Li, Yongge
    Kurths, Juergen
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019, 2019 (10):
  • [40] Synchronized firing of FitzHugh-Nagumo neurons by noise
    Kitajima, H
    Kurths, J
    CHAOS, 2005, 15 (02)
12345