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| Título: | Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization |
| Autor: | Canale, Eduardo Monzón, Pablo |
| Tipo: | Preprint |
| Palabras clave: | Linear stability analysis, Coupled oscillators, Dynamical systems, Kuramoto models, Measure theory, Euclidean geometries, Graph theory, Vector fields, Complex functions, Cell lines |
| Fecha de publicación: | 2015 |
| Resumen: | This work is concerned with stability of equilibria in the homogeneous (equal frequencies) Kuramoto model of weakly coupled oscillators. In 2012 [R. Taylor, J. Phys. A: Math. Theor. 45, 1-15 (2012)], a sufficient condition for almost global synchronization was found in terms of the minimum degree-order ratio of the graph. In this work, a new lower bound for this ratio is given. The improvement is achieved by a concrete infinite sequence of regular graphs. Besides, non standard unstable equilibria of the graphs studied in Wiley et al. [Chaos 16, 015103 (2006)] are shown to exist as conjectured in that work. |
| Descripción: | Trabajo publicado en Chaos. 25(2) 2015 |
| Citación: | Canale, E, Monzón, P. "Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization" [Preprint] Publicado en: Chaos 25 (2), 2015 : 023106. https://doi.org/10.1063/1.4907952 |
| Licencia: | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Instituto de Ingeniería Eléctrica |
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| CM15.pdf | 331,68 kB | Adobe PDF | Visualizar/Abrir |
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