CHARACTERIZATION OF SPATIOTEMPORAL CHAOS FROM TIME-SERIES

被引：50
|
作者：
BAUER, M
HENG, H
MARTIENSSEN, W
机构：
[1] Physikalisches Institut, Universität Frankfurt, D-6000 Frankfurt 1
来源：
PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 04期
关键词：
D O I：
10.1103/PhysRevLett.71.521
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The analysis of time series generated by spatiotemporal chaotic systems is discussed. We find that a Grassberger-Procaccia algorithm with a suitable normalization for the correction of systematic errors caused by the shape of the attractor is a reliable method for distinguishing between high-dimensional chaos and noise. We show that even a quantitative description of the attractor is possible by means of dimension densities. The results obtained from the time series axe in good agreement with values calculated directly from the generating equations of motion.
引用
收藏
页码：521 / 524
页数：4
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