| 高斯白噪声驱动下二维三势阱系统的随机共振 |
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| 引用本文： | 骆世广,李爽. 高斯白噪声驱动下二维三势阱系统的随机共振[J]. 佳木斯大学学报, 2008, 26(6) |
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| 作者姓名： | 骆世广 李爽 |
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| 作者单位： | 广东金融学院应用数学系,广东,广州,510521;西安财经学院统计学院,西安,710100 |
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| 摘 要： | 基于绝热近似与速率方程的方法,解析地得到了高斯白噪声驱动下二维三势阱系统前三次谐波的敏感性.根据所得的表达式,研究了奇次谐波上的随机共振现象,讨论了频率、阻尼对共振曲线的影响.解析结果对阻尼大小不作限制.数值模拟表明采用的方法是有效的.
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| 关 键 词： | 随机共振 绝热近似 敏感性 |
Stochastic Resonance in a Two-dimensional Triple-well System with Gaussian WhiteNoise |
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| LUO Shi-guang,LI Shuang. Stochastic Resonance in a Two-dimensional Triple-well System with Gaussian WhiteNoise[J]. Journal of Jiamusi University(Natural Science Edition), 2008, 26(6) |
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| Authors: | LUO Shi-guang LI Shuang |
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| Affiliation: | 1.Department of Applied Mathematics;GuangDong University of Finance;Guangzhou 510521;China;2.School of Statistics;Xi'an University of Finance & Economics;Xi'an 710100;China |
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| Abstract: | In this paper,stochastic resonance(SR) in a two-dimensional triple-well system with Gaussian white noise is studied.The analytical expressions of susceptibilities at the first three harmonics are obtained using the method of adiabatic approximation and rate equation.Through analyzing the dependence of spectral power amplification at the odd-order harmonic on the noise intensity and the system parameter,we find noise-tuned SR and parameter-tuned SR.Also,the effects of frequency and damping coefficient on the... |
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| Keywords: | stochastic resonance adiabatic approximation susceptibilities |
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