ESTIMATING THE LYAPUNOV-EXPONENT SPECTRUM FROM SHORT-TIME SERIES OF LOW PRECISION

被引：143

作者：

ZENG, X ^{[1
]}

EYKHOLT, R ^{[1
]}

PIELKE, RA ^{[1
]}

机构：

[1] COLORADO STATE UNIV,DEPT PHYS,FT COLLINS,CO 80523

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 25期

关键词：

D O I：

10.1103/PhysRevLett.66.3229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a new method to compute Lyapunov exponents from limited experimental data. The method is tested on a variety of known model systems, and it is found that the algorithm can be used to obtain a reasonable Lyapunov-exponent spectrum from only 5000 data points with a precision of 10(-1) or 10(-2) in three- or four-dimensional phase space, or 10000 data points in five-dimensional phase space. We also apply our algorithm to the daily-averaged data of surface temperature observed at two locations in the United States to quantitatively evaluate atmospheric predictability.

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页码：3229 / 3232

页数：4

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