Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise

doi:10.1088/1674-1056/19/1/010503

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

Received: 16 April 2009
Revised: 15 May 2009
Accepted manuscript online:

PACS:	05.40.Ca	(Noise)
	02.50.Ey	(Stochastic processes)
	87.10.-e	(General theory and mathematical aspects)

Fund: Project supported by the Postdoctoral Fellow Grant Project (G-YX0Y) at the Hong Kong Polytechnic University and the National Natural Science Foundation of China (Grant No. 10872165).

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Yung Kai-Leung(容启亮), Lei You-Ming(雷佑铭), and Xu Yan(徐雁) Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise 2010 Chin. Phys. B 19 010503

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Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise

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