TY  - EJOU
AU  - Yong, Xu  
AU  - Jing, Feng  
AU  - Wei, Xu  
AU  - Rencai, Gu  

TI  - Probability Density Transitions in the FitzHugh-Nagumo Model with Lévy Noise
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2015
VL  - 106
IS  - 5
SN  - 1526-1506

AB  - In this paper, bifurcation analysis and numerical simulations are performed on the FitzHugh-Nagumo system in the presence of Lévy stable noise. The stationary probability density functions are obtained to examine the influences of noise intensity and stability index. Results show that under the influences of noise intensity and stability index, the dynamic of the FitzHugh-Nagumo model can be well characterized through the concept of stochastic bifurcation, consisting in qualitative changes of the stationary probability distribution. Then, the mean passage time between the resting and action state is investigated as functions of noise intensity and stability index of the external signal by means of numerical simulations. Dependences of the results on the parameters of Lévy noise are discussed to find the different mechanisms compared with Gaussian case.
KW  - Lévy noise
KW  -  FitzHugh-Nagumo model
KW  -  firing time
KW  -  stochastic bifurcation
KW  -  stationary probability density
KW  -  mean first passage time

DO  - 10.3970/cmes.2015.106.309