Full text
![[thumbnail of INVE_MEM_2013_163754.pdf]](https://oa.upm.es/style/images/fileicons/application_pdf.png) Preview |
PDF
- Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (211kB) |
Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties
Citation
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.
Description
| Title: | Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties |
|---|---|
| Author/s: |
|
| Item Type: | Article |
| Título de Revista/Publicación: | Journal of nonlinear science |
| Date: | 2013 |
| ISSN: | 0938-8974 |
| Volume: | 23 |
| Subjects: | |
| Faculty: | E.T.S.I. Aeronáuticos (UPM) |
| Department: | Matemática Aplicada y Estadística [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
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
More information
| Item ID: | 29354 |
|---|---|
| DC Identifier: | https://oa.upm.es/29354/ |
| OAI Identifier: | oai:oa.upm.es:29354 |
| DOI: | 10.1007/s00332-012-9153-2 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 27 Oct 2014 18:44 |
| Last Modified: | 10 Feb 2023 11:36 |
