Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal

doi:10.1088/1674-1056/20/10/100502

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/20/10/100502

Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal

李鹏, 聂林如, 吕秀敏, 张启波

Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2010-11-16 修回日期:2011-06-21 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundations of China (Grant No. 10847139) and the Science Foundation of Yunnan Province of China (Grant Nos. 2009CD036 and 08Z0015).

Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal

Li Peng(李鹏), Nie Lin-Ru(聂林如)^†, Lü Xiu-Min(吕秀敏), and Zhang Qi-Bo(张启波)

Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China

Received:2010-11-16 Revised:2011-06-21 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundations of China (Grant No. 10847139) and the Science Foundation of Yunnan Province of China (Grant Nos. 2009CD036 and 08Z0015).

摘要/Abstract

摘要： A linear system driven by dichotomous noise and a periodic signal is investigated in the underdamped case. The exact expressions of output signal amplitude and signal-to-noise ratio (SNR) of the system are derived. By means of numerical calculation, the results indicate that (i) at some fixed noise intensities, the output signal amplitude with inertial mass exhibits the structure of a single peak and single valley, or even two peaks if the dichotomous noise is asymmetric; (ii) in the case of asymmetric dichotomous noise, the inertial mass can cause non-monotonic behaviour of the output signal amplitude with respect to noise intensity; (iii) the curve of SNR versus inertial mass displays a maximum in the case of asymmetric dichotomous noise, i.e., a resonance-like phenomenon, while it decreases monotonically in the case of symmetric dichotomous noise; (iv) if the noise is symmetric, the inertial mass can induce stochastic resonance in the system.

Abstract: A linear system driven by dichotomous noise and a periodic signal is investigated in the underdamped case. The exact expressions of output signal amplitude and signal-to-noise ratio (SNR) of the system are derived. By means of numerical calculation, the results indicate that (i) at some fixed noise intensities, the output signal amplitude with inertial mass exhibits the structure of a single peak and single valley, or even two peaks if the dichotomous noise is asymmetric; (ii) in the case of asymmetric dichotomous noise, the inertial mass can cause non-monotonic behaviour of the output signal amplitude with respect to noise intensity; (iii) the curve of SNR versus inertial mass displays a maximum in the case of asymmetric dichotomous noise, i.e., a resonance-like phenomenon, while it decreases monotonically in the case of symmetric dichotomous noise; (iv) if the noise is symmetric, the inertial mass can induce stochastic resonance in the system.

Key words: underdamped linear system, dichotomous noise, inertial mass, output signal amplitude, signal-to-noise ratio

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes)

李鹏, 聂林如, 吕秀敏, 张启波. Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal[J]. 中国物理B, 2011, 20(10): 100502-100502.

Li Peng(李鹏), Nie Lin-Ru(聂林如), Lü Xiu-Min(吕秀敏), and Zhang Qi-Bo(张启波) . Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal[J]. Chin. Phys. B, 2011, 20(10): 100502-100502.

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Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal

Effect of inertial mass on a linear system driven by dichotomous noise and a periodic signal

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