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

For citation:

Bezruchko B. P., Seleznev E. P., Smirnov D. A. Reconstructing equations of a nonautonomous nonlinear oscillator from a time series: models, experiment. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 1, pp. 49-67. DOI: 10.18500/0869-6632-1999-7-1-49-67

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Russian
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Journal in the journal
Article type: 
Article
UDC: 
530.18
DOI: 
10.18500/0869-6632-1999-7-1-49-67

Reconstructing equations of a nonautonomous nonlinear oscillator from a time series: models, experiment

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

We present а procedure for constructing model differential equations of an oscillatory harmonically driven system from а scalars time series. The procedure uses а global reconstruction technique, and a priori information about the character of influence is taken into account. The procedure is tested using several well-known systems — nonlinear oscillators with different kinds of friction forces and potential functions. We
demonstrate its effectiveness by applying it to several examples, including the dynamical systems with added noise and the real radioengineering system — nonlinear RLC-circuit with switched capacitors.

Key words: 
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Reference: 
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Received: 
14.01.1999
Accepted: 
19.02.1999
Published: 
28.05.1999
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