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Experimental and numerical study of noise effects in a FitzHugh–Nagumo system driven by a biharmonic signal

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  • Bordet, M.
  • Morfu, S.

Abstract

Using a nonlinear circuit ruled by the FitzHugh–Nagumo equations, we experimentally investigate the combined effect of noise and a biharmonic driving of respective high and low frequency F and f. Without noise, we show that the response of the circuit to the low frequency can be maximized for a critical amplitude B∗ of the high frequency via the effect of Vibrational Resonance (V.R.). We report that under certain conditions on the biharmonic stimulus, white noise can induce V.R. The effects of colored noise on V.R. are also discussed by considering an Ornstein–Uhlenbeck process. All experimental results are confirmed by numerical analysis of the system response.

Suggested Citation

  • Bordet, M. & Morfu, S., 2013. "Experimental and numerical study of noise effects in a FitzHugh–Nagumo system driven by a biharmonic signal," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 82-89.
    • Handle: RePEc:eee:chsofr:v:54:y:2013:i:c:p:82-89
    DOI: 10.1016/j.chaos.2013.05.020
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    Cited by:

    1. Bodo, Bertrand & Mvogo, Alain & Morfu, Saverio, 2017. "Fractional dynamical behavior of electrical activity in a model of pancreatic β-cells," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 426-432.
    2. Usama, B.I. & Morfu, S. & Marquie, P., 2021. "Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Usama, B.I. & Morfu, S. & Marquié, P., 2019. "Numerical analyses of the vibrational resonance occurrence in a nonlinear dissipative system," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 31-37.

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