Eur. Phys. J. B 60, 203-215 (2007)
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

Abstract

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.