https://doi.org/10.1140/epjp/s13360-021-01245-x
Regular Article
The probability density function of interspike intervals in an FHN model with α-stable noise
1
School of Mathematics and Statistics, Northwestern Polytechnical University, 710072, Xi’an, China
2
MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, 710072, Xi’an, China
3
Potsdam Institute for Climate Impact Research, 14412, Potsdam, Germany
4
Centre for Analysis of Complex Systems, Sechenov First Moscow State Medical University, Moscow, Russia
b
hsux3@nwpu.edu.cn
c
liyonge@nwpu.edu.cn
Received:
27
October
2020
Accepted:
16
February
2021
Published online:
7
March
2021
In this paper, we expand the paradigmatic Fitzhugh–Nagumo (FHN) model by including α-stable noise and study the firing rate and coherence resonance via probability density function (PDF) of the interspike intervals (ISIs). In the previous work, different indicators and measurements are given to illustrate the firing rate and coherence resonance. However, we find that they can be described simply by the PDF of ISIs, which contains the underlying information of spiking neuron signals. For example, the width of the peak of the PDF of ISIs can characterize the phenomenon of coherence resonance. The narrower width of peak stands for the better coherence resonance.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
