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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517.9
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.
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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
Journal issue:
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