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- Title
The mean first-passage time in simplified FitzHugh–Nagumo neural model driven by correlated non-Gaussian noise and Gaussian noise.
- Authors
Guo, Yong-Feng; Xi, Bei; Wei, Fang; Tan, Jian-Guo
- Abstract
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 τ , the cross-correlation strength λ and the non-Gaussian noise deviation parameter q on the MFPT are discussed.
- Subjects
RANDOM noise theory; STATISTICAL correlation; MULTIPLICATION; PATH integrals; DISTRIBUTION (Economic theory); COMPUTER simulation
- Publication
Modern Physics Letters B, 2018, Vol 32, Issue 28, pN.PAG
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984918503396