Fractal dimensions of strange attractors obtained from the Taylor-Couette experiment

✍ Scribed by Th. Buzug; J. von Stamm; G. Pfister

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 268 KB
• Volume: 191
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(92)90583-c

✦ Synopsis

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 measured 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.