ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Namajunas A. M., Tamashjavichjus A. V. Measurement of correlation dimension from time series. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 1, pp. 104-108. DOI: 10.18500/0869-6632-1993-1-1-104-108

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Russian
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Article
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621.317.7

Measurement of correlation dimension from time series

Autors: 
Namajunas A. M., Vilnius Institute of Semiconductor Physics
Tamashjavichjus A. V., Vilnius Institute of Semiconductor Physics
Abstract: 

An electronic technique for determining the correlation dimension of strange attractors from a single observable is described. In contrast to the conventional computer methods the elaborated electronic instrument operates on a real time scale. Mathematical description of the procedure as well as the block diagram of the instrument are presented. The correlation dimension is measured for a chaotic oscillator which is a standard LC-oscillator containing an additional nonlinear inertial chain. There is a good agreement of the experimental result with the numerical calculations carried out for the corresponding dynamical equations. In addition, the periodic oscillations and random noise are analyzed electronically for comparison.

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Reference: 
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Received: 
11.03.1993
Accepted: 
12.04.1993
Published: 
20.07.1993