Abstract
The effect of correlation in FitzHugh–Nagumo neural model induced by non-Gaussian noise and multiplicative signal is studied. Based on the corresponding Fokker–Planck equation, the explicit expressions of the stationary probability distribution function, the mean first passage time and signal-to-noise ratio are obtained, respectively. By analyzing the influence of different parameters, we observe that the system undergoes a succession of phase transition-like phenomena as correlation strength λ, correlation time τ and multiplicative noise intensity D are increased. And the mean first passage time exhibits a maximum, which identifies the noise-enhanced stability effect when correlation strength λ < 0. Furthermore, inhibition phenomenon and double stochastic resonance occur in FitzHugh–Nagumo neural model under different values of system parameters.
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Acknowledgments
This work was supported by National Natural Science Foundation of China under Grant Nos. 11202120 and 61273311, the Fundamental Research Funds for the Central Universities under No. GK201502007.
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Li, X.L., Ning, L.J. Effect of correlation in FitzHugh–Nagumo model with non-Gaussian noise and multiplicative signal. Indian J Phys 90, 91–98 (2016). https://doi.org/10.1007/s12648-015-0717-5
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DOI: https://doi.org/10.1007/s12648-015-0717-5