The mean first-passage time in simplified FitzHugh-Nagumo neural model driven by correlated non-Gaussian noise and Gaussian noise

被引：11
|
作者：
Guo, Yong-Feng [1 ]
Xi, Bei [1 ]
Wei, Fang [1 ]
Tan, Jian-Guo [1 ]
机构：
[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 28期
基金：
中国国家自然科学基金;
关键词：
FitzHugh-Nagumo neural model; stationary probability distribution; mean first-passage time; non-Gaussian noise; BISTABLE-SYSTEM DRIVEN; 1ST PASSAGE TIME; STOCHASTIC RESONANCE; PERIODIC SIGNAL; COLORED-NOISE; ADDITIVE NOISE; KINETIC-MODEL; APPROXIMATION; NEURONS; DIFFUSION;
D O I：
10.1142/S0217984918503396
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, the mean first-passage time (MFPT) in simplified FitzHugh-Nagumo (FHN) neural model driven by correlated multiplicative non-Gaussian noise and additive Gaussian white noise is studied. Firstly, using the path integral approach and the unified colored-noise approximation (UCNA), the analytical expression of the stationary probability distribution (SPD) is derived, and the validity of the approximation method employed in the derivation is checked by performing numerical simulation. Secondly, the expression of the MFPT of the system is obtained by applying the definition and the steepest-descent method. Finally, the effects of the multiplicative noise intensity D, the additive noise intensity Q, the noise correlation time tau, the cross-correlation strength lambda and the non-Gaussian noise deviation parameter q on the MFPT are discussed.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] Phase transitions and the mean first passage time of an asymmetric bistable system with non-Gaussian Levy noise
    Gu Ren-Cai
    Xu Yong
    Zhang Hui-Qing
    Sun Zhong-Kui
    ACTA PHYSICA SINICA, 2011, 60 (11)
  • [32] Time delay estimation of Gaussian signal in non-Gaussian spatially correlated noise
    Tang, GH
    Chen, Q
    Liu, GS
    PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2, 2003, : 639 - 642
  • [33] Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise
    Zhang Xiao-Yan
    Xu Wei
    CHINESE PHYSICS, 2007, 16 (04): : 928 - 932
  • [34] Stochastic resonance in FizHugh-Nagumo model driven by multiplicative signal and non-Gaussian noise
    Li, X. L.
    Ning, L. J.
    INDIAN JOURNAL OF PHYSICS, 2015, 89 (02) : 189 - 194
  • [35] Stochastic resonance in FizHugh-Nagumo model driven by multiplicative signal and non-Gaussian noise
    X. L. Li
    L. J. Ning
    Indian Journal of Physics, 2015, 89 : 189 - 194
  • [36] Stochastic stability of FitzHugh-Nagumo systems in infinite lattice perturbed by Gaussian white noise
    Yan Zheng
    Jian Hua Huang
    Acta Mathematica Sinica, English Series, 2011, 27 : 2143 - 2152
  • [37] Suppression of noise in FitzHugh-Nagumo model driven by a strong periodic signal
    Pankratova, EV
    Polovinkin, AV
    Spagnolo, B
    PHYSICS LETTERS A, 2005, 344 (01) : 43 - 50
  • [38] Stochastic Stability of FitzHugh-Nagumo Systems in Infinite Lattice Perturbed by Gaussian White Noise
    Zheng, Yan
    Huang, Jian Hua
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (11) : 2143 - 2152
  • [39] Stochastic resonance in a bistable system driven by non-gaussian noise and gaussian noise
    Meng Yunliang
    Pei Changxing
    2014 IEEE WORKSHOP ON ELECTRONICS, COMPUTER AND APPLICATIONS, 2014, : 358 - 361
  • [40] MEAN FIRST-PASSAGE TIME FOR NON-MARKOVIAN PROCESSES DRIVEN BY CONTINUOUS NOISE
    YANG, M
    WU, DJ
    CAO, L
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1995, 23 (02) : 167 - 174
12345