| 非对称三值噪声激励下一类线性系统的随机共振现象 |
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| 引用本文： | 武娟,许勇,张慧清,王顺利. 非对称三值噪声激励下一类线性系统的随机共振现象[J]. 陕西师范大学学报(自然科学版), 2012, 0(1): 9-12 |
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| 作者姓名： | 武娟 许勇 张慧清 王顺利 |
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| 作者单位： | 西北工业大学理学院;国家林业局管理干部学院培训教学部 |
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| 基金项目： | 国家自然科学基金资助项目(10972181,11102157) |
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| 摘 要： | 研究了一类具有外部周期信号的线性系统在乘性非对称三值噪声激励下呈现随机共振现象的情况.采用Shapiro-Loginov公式,计算出系统输出信号振幅的精确表达式.通过平面及三维图示分析,系统观察出两类广义的随机共振现象.也就是系统在某些参数下,输出信号振幅随着三值噪声强度及其非对称度的变化显现出非单调依赖性.
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| 关 键 词： | 非对称三值噪声 随机共振 线性系统 输出信号振幅 |
Stochastic resonance in a linear system induced by asymmetric trichotomous noise |
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| WU Juan,XU Yong,ZHANG Hui-qing,WANG Shun-li. Stochastic resonance in a linear system induced by asymmetric trichotomous noise[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2012, 0(1): 9-12 |
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| Authors: | WU Juan XU Yong ZHANG Hui-qing WANG Shun-li |
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| Affiliation: | 1 College of Science,Northwestern Polytechnical University,Xi′an 710129,Shaanxi,China; 2 Department of Training and Teaching,State Academy of Forestry Administration,Beijing 102600,China) |
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| Abstract: | The phenomenon of stochastic resonance(SR) in a linear system with an external periodic signal derived by a multiplicative asymmetric trichotomous noise is investigated.The exact expression of the output amplitude is derived by the Shapiro-Loginov formula.Two kinds of SR phenomena are found through the two-dimensional and three-dimensional figures,i.e.the non-monotonic dependence of the output amplitude on the noise strength and the noise asymmetry degree is presented with some parameters. |
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| Keywords: | asymmetric trichotomous noise stochastic resonance linear system output amplitude |
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