Feigenbaum graphs at the onset of chaos

Luque Serrano, Bartolome and Lacasa Saiz de Arce, Lucas and Robledo, Alberto (2012). Feigenbaum graphs at the onset of chaos. "Physics Letters a", v. 376 ; pp. 3625-3629. ISSN 0375-9601. https://doi.org/10.1016/j.physleta.2012.10.050.

Description

Title: Feigenbaum graphs at the onset of chaos
Author/s:
  • Luque Serrano, Bartolome
  • Lacasa Saiz de Arce, Lucas
  • Robledo, Alberto
Item Type: Article
Título de Revista/Publicación: Physics Letters a
Date: 2012
ISSN: 0375-9601
Volume: 376
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 analyze the properties of networks obtained from the trajectories of unimodal maps at the transi- tion to chaos via the horizontal visibility (HV) algorithm. We find that the network degrees fluctuate at all scales with amplitude that increases as the size of the network grows, and can be described by a spectrum of graph-theoretical generalized Lyapunov exponents. We further define an entropy growth rate that describes the amount of information created along paths in network space, and find that such en- tropy growth rate coincides with the spectrum of generalized graph-theoretical exponents, constituting a set of Pesin-like identities for the network.

Funding Projects

TypeCodeAcronymLeaderTitle
Madrid Regional GovernmentFIS2009-13690 / S2009ESP-1691UnspecifiedUnspecifiedUnspecified

More information

Item ID: 16711
DC Identifier: http://oa.upm.es/16711/
OAI Identifier: oai:oa.upm.es:16711
DOI: 10.1016/j.physleta.2012.10.050
Deposited by: Memoria Investigacion
Deposited on: 13 Nov 2014 16:20
Last Modified: 13 Nov 2014 16:20
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