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Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties
Cita
Luque Serrano, Bartolome 
ORCID: https://orcid.org/0000-0002-0396-4396, Ballesteros, Fernando J., Núñez, Ángel M. and Robledo, Alberto
(2013).
Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties.
"Journal of nonlinear science", v. 23
(n. 2);
pp. 335-342.
ISSN 0938-8974.
https://doi.org/10.1007/s00332-012-9153-2.
ORCID: https://orcid.org/0000-0002-0396-4396, Ballesteros, Fernando J., Núñez, Ángel M. and Robledo, Alberto
(2013).
Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties.
"Journal of nonlinear science", v. 23
(n. 2);
pp. 335-342.
ISSN 0938-8974.
https://doi.org/10.1007/s00332-012-9153-2.
Descripción
| Título: | Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Journal of nonlinear science |
| Fecha: | 2013 |
| ISSN: | 0938-8974 |
| Volumen: | 23 |
| Número: | 2 |
| Materias: | |
| ODS: | |
| Escuela: | E.T.S.I. Aeronáuticos (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada y Estadística [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
A novel class of graphs, here named quasiperiodic, are const ructed via application of the Horizontal Visibility algorithm to the time series generated along the quasiperiodic route to chaos. We show how the hierarchy of mode-locked regions represented by the Far ey tree is inherited by their associated graphs. We are able to establish, via Renormalization Group (RG) theory, the architecture of the quasiperiodic graphs produced by irrational winding numbers with pure periodic continued fraction. And finally, we demonstrate that the RG fixed-point degree distributions are recovered via optimization of a suitably defined graph entropy
Más información
| ID de Registro: | 29354 |
|---|---|
| Identificador DC: | https://oa.upm.es/29354/ |
| Identificador OAI: | oai:oa.upm.es:29354 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5488398 |
| Identificador DOI: | 10.1007/s00332-012-9153-2 |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 27 Oct 2014 18:44 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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