混沌时序相空间重构的分析和应用研究

马军海; 陈予恕

混沌时序相空间重构的分析和应用研究

马军海¹,
陈予恕²

1.
天津大学管理学院, 天津 300072;
2.
天津大学力学系, 天津 300072

基金项目: 国家自然科学基金资助(19990510)

详细信息

作者简介:
马军海(1965- ),男,教授,博士后;陈予恕(1931- ),男,山东肥城人,教授,博导.俄国科学院外藉院士.

中图分类号: O175.4;O241.81
计量
- 文章访问数: 2670
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- 被引次数: 0
出版历程
- 收稿日期: 1999-07-12
- 修回日期: 2000-06-25
- 刊出日期: 2000-11-15

An Analytic and Application to State Space Reconstruction About Chaotic Time Series

MA Jun-hai¹,
CHEN Yu-shu²

1.
School of Management, Tianjin University, Tianjin 300072, P R China;
2.
Department of Mechanics, Tianjin University, Tianjin 300072, P R China

摘要

摘要: 在国内外学者工作的基出上,应用Legendere坐标法重构动力系统的相空间,研究了时序时隔τ的取值范围,讨论了时序间隔τ对相空间重构工作的影响,并用所提方法重构了系统的吸引子.算例表明所提方法是有效的.
- 混沌时序 /
- 相空间重构 /
- Legendre坐标法
Abstract: The state space reconstruction is the major important quantitative index for describing nonlinear chaotic time series.Based on the work of many scholars,such as:N.H.Packard,F.Takens M.Casdagli J.F.Bibson,CHEN Yu-shu et al,the state space was reconstructed using the method of Legendre coordinate.Several different scaling regimes for lag time τ were identified.The influence for state space reconstruction of lag time τ was discussed.The result tells us that is a good practical method for state space reconstruction.
- chaotic time series /
- state space reconstruction /
- Legendre coordinates

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参考文献(15)

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