6533b86efe1ef96bd12cbc96

RESEARCH PRODUCT

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

Saverio MorfuMaxime Bordet

subject

PhysicsArtificial neural networkGeneral MathematicsApplied MathematicsNumerical analysisAcousticsMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsWhite noiseLow frequencyNonlinear systemAmplitudeColors of noiseBiharmonic equation

description

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.

https://doi.org/10.1016/j.chaos.2013.05.020