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

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Prokhorov M. D., Ponomarenko V. I. Reconstruction of ensembles of coupled time-delay systems from time series. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 3-16. DOI: 10.18500/0869-6632-2010-18-5-3-16

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86
DOI: 
10.18500/0869-6632-2010-18-5-3-16

Reconstruction of ensembles of coupled time-delay systems from time series

Autors: 
Prokhorov Mihail Dmitrievich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Ponomarenko Vladimir Ivanovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

The methods for the reconstruction of model delay-differential equations for ensembles of coupled time-delay systems from their time series are proposed. The methods efficiency is illustrated using chaotic and periodic time series from chains of diffusively coupled model and experimental time-delay systems for the cases of unidirectional andmutual coupling.

Key words: 
Reconstruction of equations
time series analysis
dynamical modeling
timedelayed feedback
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Received: 
12.04.2010
Accepted: 
12.10.2010
Published: 
31.12.2010
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