Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties

Luque Serrano, Bartolome and Ballesteros, Fernando J. and 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:
  • Luque Serrano, Bartolome
  • Ballesteros, Fernando J.
  • Núñez, Ángel M.
  • Robledo, Alberto
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

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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: http://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: 27 Oct 2014 18:44
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