title: Reconstruction of ensembles of coupled time-delay systems from time series.
abstract: We propose a method to recover from time series the parameters of coupled time-delay systems and the architecture of couplings between them. The method is based on a reconstruction of model delay-differential equations and estimation of statistical significance of couplings. It can be applied to networks composed of nonidentical nodes with an arbitrary number of unidirectional and bidirectional couplings. We test our method on chaotic and periodic time series produced by model equations of ensembles of diffusively coupled time-delay systems in the presence of noise, and apply it to experimental time series obtained from electronic oscillators with delayed feedback coupled by resistors.
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia and 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.
authors.forename: M D
authors.initials: MD
authors.lastname: Prokhorov
authors.affiliation: Saratov Branch of Kotel'nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia and 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 and Saratov State University, Astrakhanskaya Street, 83, Saratov, 410012, Russia.
authors.forename: B P
authors.initials: BP
authors.lastname: Bezruchko
mesh_terms: D055615:Electrical Equipment and Supplies; D005246:Feedback; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000295:instrumentation; D013995:Time