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长江日流量混沌变化特性研究——Ⅱ相空间嵌入维数的确定
引用本文:丁晶,王文圣,赵永龙.长江日流量混沌变化特性研究——Ⅱ相空间嵌入维数的确定[J].水科学进展,2003,14(4):412-416.
作者姓名:丁晶  王文圣  赵永龙
作者单位:1.四川大学水电学院, 四川, 成都, 610065;
基金项目:国家自然科学基金资助重大项目(50099620)~~
摘    要:为了以新途径探索长江水量变化规律并在此基础上做出预测,全面而系统地研究了宜昌站日流量混沌变化特性并建立了新预测模型.重点论述相空间嵌入维数的确定.嵌入维数是混沌分析的一个重要参数.给出了饱和关联维数法、伪最邻近点法和真实矢量场法3种嵌入维数的确定方法.它们各有优缺点.研究结果表明,最优嵌入维数的确定必须进行综合分析并考虑最优嵌入窗宽.

关 键 词:日流量    混沌变化    特性    嵌入维数    长江
文章编号:1001-6791(2003)04-412-05
收稿时间:2002-03-13
修稿时间:2002年3月13日

Characteristics of daily flow variation in the Yangtze River,2,optimum determination of embedding dimension for reconstruction of a phase space
DING Jing,WANG Wen-sheng,ZHAO Yong-long.Characteristics of daily flow variation in the Yangtze River,2,optimum determination of embedding dimension for reconstruction of a phase space[J].Advances in Water Science,2003,14(4):412-416.
Authors:DING Jing  WANG Wen-sheng  ZHAO Yong-long
Institution:1.College of Hydraulic Engineering of Sichuan University, Chengdu 610065, China;2.Sichuan Electric Bureau, Chengdu 610016, China
Abstract:To explore the properties of daily flow variation in the Yangtze River and its prediction by using a new approach, the issue of chaotic property of daily flow at Yichang station has been addressed systematically and fully.The findings from this comprehensive exploration are divided into several parts.This paper contains the second part,in which the stress is put on optimum determination of embedding dimension.The determination of embedding dimension is also very important for chaotic analysis.Three methods are applied to this determination.They are saturated correlation dimension,false nearest neighbors and real vector field.Their properties,advantages and disadvantages are analysed in this paper.The results show that the optimum embedding dimension must be determined based on comprehensive analysis and in combination with consideration of optimum wide window.
Keywords:daily flow  chaos variation  characteristic  embedding delay time  Yangtze River
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