Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics

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  • dc.contributor.author Andrzejak, Ralph Gregorca
  • dc.contributor.author Laiou, Petroulaca
  • dc.date.accessioned 2017-01-30T13:59:07Z
  • dc.date.available 2017-01-30T13:59:07Z
  • dc.date.issued 2017ca
  • 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.en
  • 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).en
  • dc.format.mimetype application/pdfca
  • 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.95.012210ca
  • dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.95.012210
  • dc.identifier.issn 2470-0045ca
  • dc.identifier.uri http://hdl.handle.net/10230/28014
  • dc.language.iso engca
  • dc.publisher American Physical Societyca
  • dc.relation.ispartof Phys Rev E. 2017 Jan;95(1):012210
  • dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/642563ca
  • dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2014-54177-R
  • dc.rights © American Physical Society. Published article available at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.012210ca
  • dc.rights.accessRights info:eu-repo/semantics/openAccessca
  • dc.subject.keyword Dynamical systemsen
  • dc.subject.keyword Non-identicalen
  • dc.subject.keyword Bidirectionalen
  • dc.subject.keyword Symmetryen
  • dc.subject.keyword Coupling strengthen
  • dc.subject.keyword Couplingen
  • dc.subject.keyword Impacten
  • dc.title Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamicsca
  • dc.type info:eu-repo/semantics/articleca
  • dc.type.version info:eu-repo/semantics/acceptedVersionca