| 非高斯噪声激励下FitzHugh-Nagumo神经元系统的随机共振 |
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| 引用本文： | 张静静,靳艳飞.非高斯噪声激励下FitzHugh-Nagumo神经元系统的随机共振[J].物理学报,2012,61(13):130502-130502. |
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| 作者姓名： | 张静静 靳艳飞 |
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| 作者单位： | 飞行器动力学与控制教育部重点实验室,北京100081 北京理工大学宇航学院力学系,北京100081 |
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| 基金项目： | 国家自然科学基金(批准号: 10972032)、 北京理工大学优秀青年教师资助计划持续支持项目(批准号: 2010YS0101) 资助的课题. |
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| 摘 要： | 研究了乘性非高斯噪声和加性高斯白噪声共同激励下FitzHugh-Nagumo(FHN) 神经元系统的随机共振问题. 利用路径积分法和两态模型理论, 推导出系统信噪比的表达式. 研究结果表明: 系统参数在不同的取值条件下, FHN神经元模型出现了随机共振和双重随机共振现象. 此外, 非高斯参数q在不同的取值条件下, 乘性噪声强度和加性噪声强度对信噪比的影响是不同的. 非高斯噪声的加入有利于增强FHN神经元系统的信号响应.
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| 关 键 词： | 非高斯噪声 FHN神经元系统 随机共振 |
| 收稿时间： | 2011-10-11 |
Stochastic resonance in FHN neural system driven by non-Gaussian noise |
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| Zhang Jing-Jing,Jin Yan-Fei.Stochastic resonance in FHN neural system driven by non-Gaussian noise[J].Acta Physica Sinica,2012,61(13):130502-130502. |
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| Authors: | Zhang Jing-Jing Jin Yan-Fei |
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| Institution: | 1. Key Laboratory of Dynamics and Control of Flight Vehicle Ministry of Education, Beijing 100081, China;2. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Stochastic resonance (SR) is studied in the FitzHugh-Nagumo (FHN) neural system subject to multiplicative non-Gaussian noise, additive Gaussian white noise and a periodic signal. Using the path integral approach and the two-state theory, the expression of the signal-to-noise ratio (SNR) is derived. The simulation results show that conventional SR and double SR occur in the FHN neural model under different values of system parameters. The effects of the additive and multiplicative noise intensities on SNR are different. Moreover, the addition of non-Gaussian noise is conductive to the enhancement of the response to the output signal of the FHN neural system. |
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| Keywords: | non-Gaussian noise FHN neural system stochastic resonance |
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