| 准单色噪声驱动的耗散动力系统的信息熵演化 |
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| 引用本文： | 郭永峰,徐伟,李东喜,王亮.准单色噪声驱动的耗散动力系统的信息熵演化[J].物理学报,2010,59(4):2235-2239. |
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| 作者姓名： | 郭永峰 徐伟 李东喜 王亮 |
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| 作者单位： | 西北工业大学应用数学系，西安 710072 |
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| 基金项目： | 国家自然科学基金（批准号：10872165）资助的课题. |
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| 摘 要： | 准单色噪声是一类所谓真正有色的噪声.本文对准单色噪声驱动的耗散动力系统的信息熵演化进行研究,文中首先运用线性变换的方法给出了所研究系统的Fokker-Planck方程,然后结合Shannon信息熵定义推导了该系统随时间演化信息熵的精确表达式,最后分析了系统耗散参数和准单色噪声对系统信息熵的显著影响.
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| 关 键 词： | 信息熵 准单色噪声 Fokker-Planck方程 |
| 收稿时间： | 2009-06-25 |
Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise |
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| Guo Yong-Feng,Xu Wei,Li Dong-Xi,Wang Liang.Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise[J].Acta Physica Sinica,2010,59(4):2235-2239. |
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| Authors: | Guo Yong-Feng Xu Wei Li Dong-Xi Wang Liang |
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| Abstract: | The quasimonochromatic noise(QMN) is thetruly colored noise,and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied.The dimension of Fokker-Planck equation is reduced by way of linear transformation.The exact time dependence of the entropy is calculated based on the definition of Shannon's information entropy.The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed. |
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| Keywords: | information entropy quasi-monochromatic noise Fokker-Planck equation |
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