空气质量的混沌动力学分析  

Chaotic Dynamic Analysis of Air Quality

作　　者：张春涛[1] 刘学飞[1] 应宏[1] 向瑞银[1] 

机构地区：[1]重庆三峡学院数学与统计学院,重庆404100

出　　处：《西南大学学报（自然科学版）》2012年第11期47-51,共5页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市教委科技资助项目(KJ111106)

摘　　要：针对我国空气污染呈现的复杂非线性特征,提出一种新的空气质量的动力学分析方法.以三峡库区(万州)为研究地域.首先,以信息论为基础,对空气质量指数时间序列进行相空间重构,使用互信息法和条件熵法分别求解时间延迟和最小嵌入维数.然后,在重构的相空间上,计算空气污染指数时间序列的最大Lyapunov指数和关联维,研究空气污染的复杂性特征.研究结果表明,空气污染系统为混沌动力系统,这为空气污染的进一步研究提供了理论基础.Taking into consideration the fact that the distribution of air pollution in China is characterized by complexity and non-linearity, this paper proposes a new approach for analyzing the dynamic characteris tics of air quality. Taking the Three Gorges Reservoir Area （Wanzhou） as the research object and based on the information theory, it uses the phase space reconstruction method to reconstruct the phase space for air quality index time series and employs the mutual information method and the conditional entropy method to determine the time delay and the minimum embedding dimension, respectively. Then, it studies the complex characteristics of air pollution through calculating the biggest Lyapunov exponents and attractor dimension of the air pollution index time series in the reconstructed phase space. The research results show that air pollution is a chaotic chaos dynamic system.

关 键 词：混沌 空气质量指数时间序列 相空间重构 最大LYAPUNOV指数 关联维 

分 类 号：X51[环境科学与工程—环境工程]