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Simple laboratory instrumentation for measuring pointwise dimensions from chaotic time series

 

作者: Audrius Namaju¯nas,   Aru¯nas Tamasˇevicˇius,  

 

期刊: Review of Scientific Instruments  (AIP Available online 1994)
卷期: Volume 65, issue 9  

页码: 3032-3033

 

ISSN:0034-6748

 

年代: 1994

 

DOI:10.1063/1.1144599

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An analog instrumentation for estimating dimensions of chaotic dynamical systems has been developed. The technique employs time series of the Poincare´ points successively displayed on the screen of an oscilloscope. It provides a rapid way to estimate the pointwise dimension from a single variable directly in an experiment. The instrumentation is easy to build and is convenient to employ. We have tested it by applying to periodic and quasiperiodic oscillators, and have verified by means of the fractal two‐dimensional Poincare´ map, simulated from the Duffing–Holmes differential equation. The measured values well agree with the computer calculated ones.  

 

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