Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise |
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Authors: | Yung Kai-Leung Lei You-Ming and Xu Yan |
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Institution: | Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China |
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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. |
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Keywords: | bounded noise FitzHugh--Nagumo system stochastic
resonance |
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