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Stochastic resonance in FizHugh-Nagumo model driven by multiplicative signal and non-Gaussian noise

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Abstract

The stochastic resonance phenomenon in FizHugh-Nagumo neural system induced by a multiplicative periodic signal and non-Gaussian noise is studied. Based on path integral approach and two-state theory, the Fokker–Planck equation and signal-to-noise ratio are derived. By analyzing the influence of different parameters in the optimization of signal-to-noise ratio, we observe that the conventional stochastic resonance and double stochastic resonance occur in FizHugh-Nagumo neural model under different values of system parameters. Furthermore, there is a critical value of non-Gaussian noise intensity D, above which the increase of D weakens the resonant effect and below which it enhances the resonant effect.

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Acknowledgments

The authors thank H H Yang and H Yang for useful discussions. Research is partially supported by the National Natural Science Foundation of China (Grant Nos.11202120 and 61273311).

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Authors and Affiliations

  1. Department of Applied Mathematics, Shaan Xi Normal University, Xi’an, 710062, China

    X. L. Li & L. J. Ning

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  1. X. L. Li
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  2. L. J. Ning
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Correspondence to L. J. Ning.

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Li, X.L., Ning, L.J. Stochastic resonance in FizHugh-Nagumo model driven by multiplicative signal and non-Gaussian noise. Indian J Phys 89, 189–194 (2015). https://doi.org/10.1007/s12648-014-0537-z

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  • DOI: https://doi.org/10.1007/s12648-014-0537-z

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