https://doi.org/10.1140/epjb/e2007-00333-x
A data-analysis method for identifying differential effects of time-delayed feedback forces and periodic driving forces in stochastic systems
1
Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany
2
Center for the Ecological Study of Perception and Action, University of Connecticut, 406 Babbidge Road, Storrs, CT, 06269, USA
3
Faculty of Human Movement Sciences and Research Institute Move, VU University Amsterdam, Van der Boechorststraat 9, 1081 BT Amsterdam, The Netherlands
Corresponding author: a tdfrank@uni-muenster.de
Received:
25
March
2007
Published online:
8
December
2007
In this work a method is developed for analyzing time series of periodically driven stochastic systems involving time-delayed feedback. The proposed data-analysis method yields dynamical models in terms of stochastic delay differential equations. On the basis of these dynamical models differential effects of driving forces and time-delayed feedback forces can be identified.
PACS: 02.30.Ks – Delay and functional equations / 05.45.Tp – Time series analysis / 87.19.St – Movement and locomotion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
