DIRECT TEST FOR DETERMINISM IN A TIME-SERIES

被引:307
作者
KAPLAN, DT
GLASS, L
机构
[1] Department of Physiology, McGill University, Montreal QUE. H3G 1Y6
关键词
D O I
10.1103/PhysRevLett.68.427
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A direct test for deterministic dynamics can be established by measurement of average directional vectors in a coarse-grained d-dimensional embedding of a time series. Theoretical analysis of the statistical properties of a random time series using the same embedding technique is possible by consideration of classical results concerning random walks in d dimensions. Examples are given to show the clear differences between deterministic dynamics, such as may be generated by chaotic systems, and stochastic dynamics.
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页码:427 / 430
页数:4
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