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Título: | Role of delay for the symmetry in the dynamics of networks |
Autor: | D'Huys, Otti; Fischer, Ingo CSIC ORCID ; Danckaert, Jan; Vicente, Raúl | Fecha de publicación: | 2011 | Editor: | American Physical Society | Citación: | Physical Review E 83: 046223 (1-7) (2011) | Resumen: | The symmetry in a network of oscillators determines the spatiotemporal patterns of activity that can emerge. We study how a delay in the coupling affects symmetry-breaking and -restoring bifurcations. We are able to draw general conclusions in the limit of long delays. For one class of networks we derive a criterion that predicts that delays have a symmetrizing effect. Moreover, we demonstrate that for any network admitting a steady-state solution, a long delay can solely advance the first bifurcation point as compared to the instantaneous-coupling regime. | Descripción: | PACS number(s): 05.45.Xt, 89.75.Kd, 89.75.Hc, 02.30.Ks | Versión del editor: | http://dx.doi.org/10.1103/PhysRevE.83.046223 | URI: | http://hdl.handle.net/10261/46033 | DOI: | 10.1103/PhysRevE.83.04622 | ISSN: | 1539-3755 | E-ISSN: | 1550-2376 |
Aparece en las colecciones: | (IFISC) Artículos |
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PhysRevE.83.046223.pdf | 489,63 kB | Adobe PDF | Visualizar/Abrir |
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