CHARACTERIZING EXPERIMENTAL TIME-SERIES USING LOCAL INTRINSIC DIMENSION

被引：6

作者：

BUZUG, TM ^{[1
]}

VONSTAMM, J ^{[1
]}

PFISTER, G ^{[1
]}

机构：

[1] CHRISTIAN ALBRECHTS UNIV KIEL,INST ANGEW PHYS,D-24098 KIEL,GERMANY

来源：

PHYSICS LETTERS A | 1995年 / 202卷 / 2-3期

关键词：

D O I：

10.1016/0375-9601(95)00289-F

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Experimental strange attractors are analysed with the averaged local intrinsic dimension proposed by A. Passamante et al. [Phys. Rev. A 39 (1989) 3640] which is based on singular value decomposition of local trajectory matrices. The results are compared to the values of Kaplan-Yorke and the correlation dimension. The attractors, reconstructed with Takens delay time coordinates from scalar velocity time series, are measured in the hydrodynamic Taylor-Couette system. A period doubling route towards chaos obtained from a very short Taylor-Couette cylinder yields a sequence of experimental time series where the local intrinsic dimension is applied.

引用

页码：183 / 190

页数：8

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