Reconstruction of time-delay systems from chaotic time series.
We propose a method that allows one to estimate the parameters of model scalar time-delay differential equations from time series. The method is based on a statistical analysis of time intervals between extrema in the time series. We verify our method by using it for the reconstruction of time-delay differential equations from their chaotic solutions and for modeling experimental systems with delay-induced dynamics from their chaotic time series.
Bezruchko
B P
BP
Saratov Department of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov, 410019, Russia.
Karavaev
A S
AS
Ponomarenko
V I
VI
Prokhorov
M D
MD