A data-analysis method for decomposing synchronization variability of anticipatory systems into stochastic and deterministic components.

Number 1523
Year 2009
Drawer 27
Entry Date 02/23/2009
Authors Stepp, N. & Frank, T.D.
Contact
Publication The European Physical Journal B, v. 67, pp. 251-257.
url http://www.haskins.yale.edu/Reprints/HL1523.pdf
Abstract Synchronization has been shown to be a valuable concept in the field of nonlinear dynamics and dynamical systems in general. Deviation from perfect synchronization results from an interplay of deterministic coupling forces and stochastic fluctuating forces. When the exact details of these two sources of variance are unknown, it becomes useful to estimate them directly from data. To this end, we develop a data analysis method for estimating parameters associated with these deterministic and stochastic components. The method relies on separating their respective contributions to synchronization error. We focus on the case where a slave system synchronizes with the future of a master system, so-called anticipating synchronization.
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