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Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise
Authors:Yung Kai-Leung  Lei You-Ming and Xu Yan
Institution:Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
Abstract:We investigate stochastic resonance (SR) in the FitzHugh--Nagumo system under combined bounded noise and weak harmonic excitation. Taking a spectral amplification factor as a signal-to-noise ratio, we show numerically that bounded noise can induce SR by adjusting either the intensity of bounded noise or its colour. Moreover, the increase of noise colour can enhance the SR and make the peak of the SR shift toward lower noise intensities, which is more feasible in practice. Since bounded noise is flexible to model random excitation, these findings may have some potential applications in engineering, neuroscience and biology.
Keywords:bounded noise  FitzHugh--Nagumo system  stochastic resonance
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