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Izvestiya of Saratov University. Physics, 2011, Volume 11, Issue 2, Pages 72–78
DOI: https://doi.org/10.18500/1817-3020-2011-11-2-72-78 (Mi isuph119) 		 
Physics

Method of timedelay systems recovery from time series with known type of model equation

V. I. Ponomarenkoab, M. D. Prokhorovb, E. V. Sidaka

a Saratov State University
b Saratov Branch, Kotel'nikov Institute of Radio-Engineering and Electronics, Russian Academy of Sciences
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DOI: https://doi.org/10.18500/1817-3020-2011-11-2-72-78
Abstract: We propose the method for the reconstruction of firstorder timedelay systems from their time series. The method is based on taking into account the type of the system equation at the regression model construction. The method allows one to recover the delay time, the parameter characterizing the inertial properties of the system and the nonlinear function. It can be applied to the recovery of timedelay systems performing chaotic and periodic oscillations.
Keywords: reconstruction of equations, time series analysis, dynamical modeling, timedelayed feedback.
Document Type: Article
UDC: 537.86
Language: Russian
Citation: V. I. Ponomarenko, M. D. Prokhorov, E. V. Sidak, “Method of timedelay systems recovery from time series with known type of model equation”, Izv. Sarat. Univ. Physics, 11:2 (2011), 72–78
Citation in format AMSBIB
\Bibitem{PonProSid11}
\by V.~I.~Ponomarenko, M.~D.~Prokhorov, E.~V.~Sidak
\paper Method of timedelay systems recovery from time series with known type of model equation
\jour Izv. Sarat. Univ. Physics
\yr 2011
\vol 11
\issue 2
\pages 72--78
\mathnet{http://mi.mathnet.ru/isuph119}
\crossref{https://doi.org/10.18500/1817-3020-2011-11-2-72-78}
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