Quasiperiodic graphs at the onset of chaos

Luque Serrano, Bartolome and Cordero Gracia, Marta Amalia and Robledo, Alberto and Gómez López, Mariola (2013). Quasiperiodic graphs at the onset of chaos. "PHYSICAL REVIEW E", v. 88 (n. 6); pp.. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.88.062918.

Description

Title: Quasiperiodic graphs at the onset of chaos
Author/s:
  • Luque Serrano, Bartolome
  • Cordero Gracia, Marta Amalia
  • Robledo, Alberto
  • Gómez López, Mariola
Item Type: Article
Título de Revista/Publicación: PHYSICAL REVIEW E
Date: 2013
ISSN: 1539-3755
Volume: 88
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

We examine the connectivity fluctuations across networks obtained when the horizontal visibility (HV) algorithm is used on trajectories generated by nonlinear circle maps at the quasiperiodic transition to chaos. The resultant HV graph is highly anomalous as the degrees fluctuate at all scales with amplitude that increases with the size of the network. We determine families of Pesin-like identities between entropy growth rates and generalized graph-theoretical Lyapunov exponents. An irrational winding number with pure periodic continued fraction characterizes each family. We illustrate our results for the so-called golden, silver, and bronze numbers

More information

Item ID: 29154
DC Identifier: http://oa.upm.es/29154/
OAI Identifier: oai:oa.upm.es:29154
DOI: 10.1103/PhysRevE.88.062918
Deposited by: Memoria Investigacion
Deposited on: 07 Aug 2014 16:10
Last Modified: 22 Sep 2014 11:44
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