Título:
Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization
Otros títulos:
Coordinador:
Director:
Compilador:
Autor:
Canale, Eduardo
Monzón, Pablo
Monzón, Pablo
Tutor:
Tipo de documento:
Preprint
Editor:
Palabras clave:
Linear stability analysis
Coupled oscillators
Dynamical systems
Kuramoto models
Measure theory
Euclidean geometries
Graph theory
Vector fields
Complex functions
Cell lines
Coupled oscillators
Dynamical systems
Kuramoto models
Measure theory
Euclidean geometries
Graph theory
Vector fields
Complex functions
Cell lines
Descriptores:
Año de publicación:
2015
Contenido:
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
metadata.articulos.dc.description.uri:
Editorial:
EN:
Financiadores:
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
Citación:
metadata.articulos.cc.license.name:
ISBN:
e-ISBN:
ISSN:
ISMN:
Otros identificadores:
Cobertura geográfica:
Cobertura temporal:
Departamento académico:
Grupo de investigación:
Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| CM15.pdf | — | 331.68 KB | Adobe PDF |