USING HIGHER-ORDER CORRELATIONS TO DEFINE AN EMBEDDING WINDOW

被引:62
作者
ALBANO, AM [1 ]
PASSAMANTE, A [1 ]
FARRELL, ME [1 ]
机构
[1] USN,CTR AIR DEV,WARMINSTER,PA 18974
来源
PHYSICA D | 1991年 / 54卷 / 1-2期
关键词
D O I
10.1016/0167-2789(91)90110-U
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Correlation functions of up to fourth order are investigated numerically in search of a reliable window for embedding or reconstructing chaotic flows by the method of time delays. A number of these higher-order correlations display coincident extrema. The time at which this coincidence occurs is shown to be a reasonable embedding window for calculating the correlation dimension of a number of well-known chaotic attractors.
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页码:85 / 97
页数:13
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