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

For citation:

Bezruchko B. P., Smirnov D. A. Method for reconstruction of equations with harmonic driving from time series. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 2, pp. 27-38. DOI: 10.18500/0869-6632-2001-9-2-27-38

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2001-9-2-27-38

Method for reconstruction of equations with harmonic driving from time series

Autors: 
Bezruchko Boris Petrovich, Saratov State University
Smirnov Dmitrij Alekseevich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

We propose a general approach to constructing global models of harmonically driven systems from time series. It is a modification of the standard method of global reconstruction of differential equations - a polynomial, which arguments are sequential derivatives of an observable along with explicit functions of time, enters in model equations. Efficiency and details of the approach are demonstrated by various numerical examples.

Key words: 
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Acknowledgments: 
The work was supported by the American Foundation for Civic Research and Development (grant RЕС-006) and RFBR (grants гранты 99-02-17735 and 01-02-06039).
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Received: 
19.12.2000
Accepted: 
18.05.2001
Published: 
17.07.2001
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