FRACTAL DIMENSIONS OF STRANGE ATTRACTORS OBTAINED FROM THE TAYLOR-COUETTE EXPERIMENT

被引：18

作者：

BUZUG, T

VONSTAMM, J

PFISTER, G

机构：

[1] Institut für Angewandte Physik, Universität Kiel

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1992年 / 191卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(92)90583-C

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present scenarios from the rotational Taylor-Couette flow, which has been implemented as a high precision hydrodynamic experiment. The system shows a rich variety of routes to chaos, e.g. the period doubling cascade, quasiperiodic and intermittent transitions. From a scalar time series, that is the axial velocity component of the flow field measure with Laser-Doppler velocimetry, strange attractors are reconstructed using Takens' delay time coordinates. To obtain an estimate of the fractal dimensions of these structures in phase space we calculate the correlation dimension from the reconstructed attractors. We discuss the fractal dimension as a function of Reynolds number and geometry of the experiment.

引用

页码：559 / 563

页数：5

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