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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10503-010503.doi: 10.1088/1674-1056/19/1/010503

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

容启亮, 雷佑铭, 徐雁

Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China

收稿日期:2009-04-16 修回日期:2009-05-15 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
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).

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

Yung Kai-Leung(容启亮), Lei You-Ming(雷佑铭)^†, and Xu Yan(徐雁)

Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China

Received:2009-04-16 Revised:2009-05-15 Online:2010-01-15 Published:2010-01-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: bounded noise, FitzHugh--Nagumo system, stochastic resonance

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes) 87.10.-e (General theory and mathematical aspects)

容启亮, 雷佑铭, 徐雁. Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise[J]. 中国物理B, 2010, 19(1): 10503-010503.

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[J]. Chin. Phys. B, 2010, 19(1): 10503-010503.

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

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

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