Feigenbaum graphs at the onset of chaos


Autoria(s): Luque Serrano, Bartolome; Lacasa Saiz de Arce, Lucas; Robledo, Alberto
Data(s)

2012

Resumo

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.

Formato

application/pdf

Identificador

http://oa.upm.es/16711/

Idioma(s)

eng

Publicador

E.T.S.I. Aeronáuticos (UPM)

Relação

http://oa.upm.es/16711/1/INVE_MEM_2012_136107.pdf

FIS2009-13690 / S2009ESP-1691

info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physleta.2012.10.050

Direitos

http://creativecommons.org/licenses/by-nc-nd/3.0/es/

info:eu-repo/semantics/openAccess

Fonte

Physics Letters a, ISSN 0375-9601, 2012, Vol. 376

Palavras-Chave #Aeronáutica #Matemáticas
Tipo

info:eu-repo/semantics/article

Artículo

PeerReviewed