Artículo
Symbolic walk in regular networks
Fecha de publicación:
12/2014
Editorial:
IOP Publishing
Revista:
Journal of Physics A: Mathematical and Theoretical
ISSN:
1751-8113
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We find that a symbolic walk (SW) - performed by a walker with memory given by a Bernoulli shift - is able to distinguish between the random or chaotic topology of a given network. We show this result by means of studying the undirected baker network, which is defined by following the Ulam approach for the baker transformation in order to introduce the effect of deterministic chaos into its structure. The chaotic topology is revealed through the central role played by the nodes associated with the positions corresponding to the shortest periodic orbits of the generating map. They are the overwhelmingly most visited nodes in the limit cycles at which the SW asymptotically arrives. Our findings contribute to linking deterministic chaotic dynamics with the properties of networks constructed using the Ulam approach.
Palabras clave:
Chaotic Systems
,
Complex Networks
,
Symbolic Dynamics
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Identificadores
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Ermann, Leonardo; Carlo, Gabriel Gustavo; Symbolic walk in regular networks; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 48; 3; 12-2014; 35102-35115
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