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准单色噪声驱动的耗散动力系统的信息熵演化
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]西北工业大学应用数学系,西安710072
  • 相关基金：国家自然科学基金（批准号：10872165）资助的课题
作者： 郭永峰[1], 徐伟[1], 李东喜[1], 王亮[1]
关键词： 信息熵, 准单色噪声, Fokker-Planck方程, information entropy, quasi-monochromatic noise, Fokker-Planck equation
中文摘要：

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.

英文摘要：

The quasimonochromatic noise（QMN） is the＂truly 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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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876