title: Recovery of couplings and parameters of elements in networks of time-delay systems from time series.
abstract: We propose a method for the recovery of coupling architecture and the parameters of elements in networks consisting of coupled oscillators described by delay-differential equations. For each oscillator in the network, we introduce an objective function characterizing the distance between the points of the reconstructed nonlinear function. The proposed method is based on the minimization of this objective function and the separation of the recovered coupling coefficients into significant and insignificant coefficients. The efficiency of the method is shown for chaotic time series generated by model equations of diffusively coupled time-delay systems and for experimental chaotic time series gained from coupled electronic oscillators with time-delayed feedback.
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia.|Saratov State University, Astrakhanskaya Street, 83, Saratov 410012, Russia.
authors.forename: I V
authors.initials: IV
authors.lastname: Sysoev
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia.|Saratov State University, Astrakhanskaya Street, 83, Saratov 410012, Russia.
authors.forename: V I
authors.initials: VI
authors.lastname: Ponomarenko
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia.|Saratov State University, Astrakhanskaya Street, 83, Saratov 410012, Russia.
authors.forename: D D
authors.initials: DD
authors.lastname: Kulminskiy
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia.
authors.forename: M D
authors.initials: MD
authors.lastname: Prokhorov