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

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Janson N. B., Anishchenko V. S. Modelling dynamical systems on experimental data. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 112-121. DOI: 10.18500/0869-6632-1995-3-3-112-121

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1995-3-3-112-121

Modelling dynamical systems on experimental data

Autors: 
Janson Natalia B., Lancaster University
Anishchenko Vadim Semenovich, Saratov State University
Abstract: 

An attempt is made in the work to create qualitative models of some real biological systems, i.e., isolated frog's heart, а human's heart and а blood circulation system of а white rat. Sampled one-dimensional realizations of these systems were taken as the initial data. Correlation dimensions were calculated to evaluate the embedding dimensions of the systems' attractors. 
The result of the work are the systems of ordinary differential equations which approximately discribe the dynamics of the systems under investigation.

Key words: 
-
Acknowledgments: 
We express our deep gratitude to Professor of the Saratov Medical University G.V. Brill for kindly providing us with the experimental implementations of the ISL, to P.I. Saparin and N.B. Igosheva for providing ECG records, to Professor of Saratov State University T.G. Anishchenko and A.N. Murashov for providing experimental implementations of the arterial pressure of a white rat. The work was partially financed by the International Science Foundation (grant RNO 000) and the Russian Foundation for Basic Natural Sciences (grant 93 - 8.2 - 10).
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Received: 
19.01.1995
Accepted: 
28.08.1995
Published: 
05.04.1996
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