An analytic and application to state space reconstruction about chaotic time series |
| |
| Authors: | Ma Jun-hai Associate Professor Doctor Chen Yu-shu Professor Doctor Director |
| |
| Institution: | (1) School of Management, Tianjin University, 300072 Tianjin, P R China;(2) Department of Mechanics, Tianjin University, 300072 Tianjin, P R China |
| |
| Abstract: | The state space reconstruction is the major important quantitative index for describing non-linear 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.
Paper from CCHEN Yu-shu, Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China(1990510)
Biographies: MA Jun-hai (1965-) CCHEN Yu-shu(1931-) |
| |
| Keywords: | chaotic time series state space reconstruction Legendre coordinates |
| 本文献已被 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
|
