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Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics

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dc.contributor.author Andrzejak, Ralph Gregor
dc.contributor.author Laiou, Petroula
dc.date.accessioned 2017-01-30T13:59:07Z
dc.date.available 2017-01-30T13:59:07Z
dc.date.issued 2017
dc.identifier.citation Laiou P, Andrzejak RG. Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics. Phys Rev E. 2017 Jan;95(1):012210. DOI: 10.1103/PhysRevE.95.012210
dc.identifier.issn 2470-0045
dc.identifier.uri http://hdl.handle.net/10230/28014
dc.description.abstract The understanding of interacting dynamics is important for the characterization of real-world/nnetworks. In general real-world networks are heterogeneous in the sense that each node of the/nnetwork is a dynamics with di erent properties. For coupled non-identical dynamics symmetric/ninteractions are not straightforwardly de ned from the coupling strength values. Thus, a challenging/nissue is whether we can de ne a symmetric interaction in this asymmetric setting. To address this/nproblem we introduce the notion of the coupling impact. The coupling impact considers not only/nthe coupling strength but also the energy of the individual dynamics which is conveyed via the/ncoupling. To illustrate this concept, we follow a data-driven approach by analyzing signals from pairs/nof coupled model dynamics using two di erent connectivity measures. We nd that the coupling/nimpact, but not the coupling strength, correctly detects a symmetric interaction between pairs of/ncoupled dynamics regardless of their degree of asymmetry. Therefore, this approach allows to reveal/nthe real impact that one dynamics has on the other and hence to de ne symmetric interactions in/npairs of non-identical dynamics.
dc.description.sponsorship They acknowledge funding from the Volkswagen foundation and support by the Spanish Ministry of Economy and/nCompetitiveness (Grant FIS2014-54177-R). This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 642563 (R.G.A.) and/nCERCA Programme/Generalitat de Catalunya (R.G.A).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.ispartof Phys Rev E. 2017 Jan;95(1):012210
dc.rights © American Physical Society. Published article available at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.012210
dc.title Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.95.012210
dc.subject.keyword Dynamical systems
dc.subject.keyword Non-identical
dc.subject.keyword Bidirectional
dc.subject.keyword Symmetry
dc.subject.keyword Coupling strength
dc.subject.keyword Coupling
dc.subject.keyword Impact
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/642563
dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2014-54177-R
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.type.version info:eu-repo/semantics/acceptedVersion


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