Detection of weak directional coupling: phase-dynamics approach versus state-space approach
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- dc.contributor.author Smirnov, Dmitry A.
- dc.contributor.author Andrzejak, Ralph Gregor
- dc.date.accessioned 2020-02-13T18:07:01Z
- dc.date.available 2020-02-13T18:07:01Z
- dc.date.issued 2005
- dc.description.abstract We compare two conceptually different approaches to the detection of weak directional couplings between two oscillatory systems from bivariate time series. The first approach is based on the analysis of the systems’ phase dynamics, whereas the other one tests for interdependencies in the reconstructed state spaces of the systems. We analyze the sensitivity of both techniques to weak couplings in numerical experiments by considering couplings between almost identical as well as between significantly different nonlinear systems. We study different degrees of phase diffusion, test the robustness of the two techniques against observational noise, and investigate the influence of the time series length. Our results show that none of the two approaches is generally superior to the other, and we conclude that it is probably the combination of both techniques that would allow the most comprehensive and reliable characterization of coupled systems.en
- dc.description.sponsorship D.A.S acknowledges financial support from the President of Russia sGrant No. MK-1067.2004.2d, Russian Science Support Foundation, program BRHE sREC006d, and RFBR sGrant No. 05-02-16305d,
- dc.format.mimetype application/pdf
- dc.identifier.citation Smirnov DA, Andrzejak RG. Detection of weak directional coupling: Phase-dynamics approach versus state-space approach. Phys Rev E. 2005;71:036207. DOI: 10.1103/PhysRevE.71.036207
- dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.71.036207
- dc.identifier.issn 2470-0045
- dc.identifier.uri http://hdl.handle.net/10230/43594
- dc.language.iso eng
- dc.publisher American Physical Society
- dc.relation.ispartof Physical Review E. 2005;71:036207
- dc.rights © American Physical Society. Published article available at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.71.036207
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.subject.keyword Nonlinear signal analysisen
- dc.subject.keyword Synchronizationen
- dc.title Detection of weak directional coupling: phase-dynamics approach versus state-space approach
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/acceptedVersion