Collective stochastic coherence and synchronizability in weighted scale-free networks
Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/16/1/013036 |
| _version_ | 1797751576863965184 |
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| author | Pablo Balenzuela Pau Rué Stefano Boccaletti Jordi Garcia-Ojalvo |
| author_facet | Pablo Balenzuela Pau Rué Stefano Boccaletti Jordi Garcia-Ojalvo |
| author_sort | Pablo Balenzuela |
| collection | DOAJ |
| description | Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their response to noise is indistinguishable to that of a single element. Therefore one can expect systems that synchronize well to have a poor collective response to noise. Here we show that, in spite of this apparent conflict, a certain coupling architecture is able to reconcile the two properties. Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response to noise of their pulsed dynamics. This is established by comparing the behavior of this system to that of random, regular, and unweighted scale-free networks. We attribute the optimal response of weighted scale-free networks to a balance between degree heterogeneity, which ensures a good collective response to noise, and the coupling-strength weighting procedure, which overcomes the paradox of heterogeneity that would otherwise impair synchronization. |
| first_indexed | 2024-03-12T16:50:33Z |
| format | Article |
| id | doaj.art-58a9019d9dae4ea6a2c624c03d935028 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:33Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-58a9019d9dae4ea6a2c624c03d9350282023-08-08T11:20:41ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116101303610.1088/1367-2630/16/1/013036Collective stochastic coherence and synchronizability in weighted scale-free networksPablo Balenzuela0Pau Rué1Stefano Boccaletti2Jordi Garcia-Ojalvo3Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA , CONICET , Pabellón 1, Ciudad Universitaria (1428), Buenos Aires, ArgentinaDepartament of Experimental and Health Sciences, Universitat Pompeu Fabra , Barcelona Biomedical Research Park, Dr Aiguader 88, Barcelona, Spain; Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya , Edifici Gaia, Rambla Sant Nebridi 22, E-08222 Terrassa, Spain; Department of Genetics, University of Cambridge , Cambridge CB2 3EH, UKCNR-Istituto dei Sistemi Complessi , Via Madonna del Piano 10, I-50019 Sesto Fiorentino, ItalyDepartament of Experimental and Health Sciences, Universitat Pompeu Fabra , Barcelona Biomedical Research Park, Dr Aiguader 88, Barcelona, Spain; Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya , Edifici Gaia, Rambla Sant Nebridi 22, E-08222 Terrassa, SpainCoupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since strongly synchronized elements behave identically and thus their response to noise is indistinguishable to that of a single element. Therefore one can expect systems that synchronize well to have a poor collective response to noise. Here we show that, in spite of this apparent conflict, a certain coupling architecture is able to reconcile the two properties. Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response to noise of their pulsed dynamics. This is established by comparing the behavior of this system to that of random, regular, and unweighted scale-free networks. We attribute the optimal response of weighted scale-free networks to a balance between degree heterogeneity, which ensures a good collective response to noise, and the coupling-strength weighting procedure, which overcomes the paradox of heterogeneity that would otherwise impair synchronization.https://doi.org/10.1088/1367-2630/16/1/013036 |
| spellingShingle | Pablo Balenzuela Pau Rué Stefano Boccaletti Jordi Garcia-Ojalvo Collective stochastic coherence and synchronizability in weighted scale-free networks New Journal of Physics |
| title | Collective stochastic coherence and synchronizability in weighted scale-free networks |
| title_full | Collective stochastic coherence and synchronizability in weighted scale-free networks |
| title_fullStr | Collective stochastic coherence and synchronizability in weighted scale-free networks |
| title_full_unstemmed | Collective stochastic coherence and synchronizability in weighted scale-free networks |
| title_short | Collective stochastic coherence and synchronizability in weighted scale-free networks |
| title_sort | collective stochastic coherence and synchronizability in weighted scale free networks |
| url | https://doi.org/10.1088/1367-2630/16/1/013036 |
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