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A data-analysis method for identifying differential effects of time-delayed feedback forces andperiodic driving forces in stochastic systems |
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| Authors: | A. Wilmer T. D. Frank P. J. Beek R. Friedrich |
| Affiliation: | (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 |
| 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. |
| Keywords: | 02.30.Ks Delay and functional equations 05.45.Tp Time series analysis 87.19.St Movement and locomotion |
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