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Measuring synchronization in coupled model systems: A comparison of different approaches

Kreuz, Thomas and Mormann, Florian and Andrzejak, Ralph G. and Kraskov, Alexander and Lehenrtz, Klaus and Grassberger, Peter (2007) Measuring synchronization in coupled model systems: A comparison of different approaches. Physica D, 225 (1). pp. 29-42. ISSN 0167-2789.

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The investigation of synchronization phenomena on measured experimental data such as biological time series has recently become an increasing focus of interest. Different approaches for measuring synchronization have been proposed that rely on certain characteristic features of the dynamical system under investigation. For experimental data the underlying dynamics are ususaly not completely known, therefore it is difficult to decide a priori which synchronization measure is most suitable for an analysis. In this study we use three different coupled model systems to create a 'controlled' setting for a comparison of six different measures of synchronization. All measures are compared to each other with respect to their ability to distinguish between different levels of coupling and their robustness against noise. Results show that the measure to be applied to a certain task can not be chosen according to a fixed criterion but rather pragmatically as the measure which most reliably yields plausible information in test applications, although certain dynamical features of a system under investigation (e.g., power spectra, dimension) may render certain measures more suitable than others.

Item Type:Article
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Mormann, Florian0000-0003-1305-8028
Additional Information:© 2006 Elsevier B.V. Received 8 February 2006, Revised 14 September 2006, Accepted 25 September 2006, Available online 17 November 2006. Many thanks to R. Quian Quiroga for useful discussions. T.K. acknowledges support from the EU Marie Curie Human Resources and Mobility Activity, R.G.A. from the Alexander von Humboldt Foundation, F.M. intramural funding from BONFOR. T.K., F.M., K.L. and P.G. acknowledge support from the Deutsche Forschungsgemeinschaft [SFB TR3].
Group:Koch Laboratory (KLAB)
Funding AgencyGrant Number
Marie Curie FellowshipUNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)SFB TR3 Subproject A2
Subject Keywords:Nonlinear time series analysis; Synchronization; Coupled model systems
Issue or Number:1
Record Number:CaltechAUTHORS:20130816-103343288
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Official Citation:Thomas Kreuz, Florian Mormann, Ralph G. Andrzejak, Alexander Kraskov, Klaus Lehnertz, Peter Grassberger Measuring synchronization in coupled model systems: A comparison of different approaches Physica D: Nonlinear Phenomena, Volume 225, Issue 1, 1 January 2007, Pages 29–42
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40638
Deposited By: KLAB Import
Deposited On:26 Jan 2008 01:42
Last Modified:03 Oct 2019 05:14

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