title: Estimation of coupling between time-delay systems from time series.
abstract: We propose a method for estimation of coupling between the systems governed by scalar time-delay differential equations of the Mackey-Glass type from the observed time series data. The method allows one to detect the presence of certain types of linear coupling between two time-delay systems, to define the type, strength, and direction of coupling, and to recover the model equations of coupled time-delay systems from chaotic time series corrupted by noise. We verify our method using both numerical and experimental data.
authors.affiliation: Saratov Department of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov, 410019, Russia.
authors.forename: M D
authors.initials: MD
authors.lastname: Prokhorov
authors.forename: V I
authors.initials: VI
authors.lastname: Ponomarenko