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dc.contributor.author
Ermann, Leonardo
dc.contributor.author
Carlo, Gabriel Gustavo
dc.date.available
2018-02-16T15:09:10Z
dc.date.issued
2014-12
dc.identifier.citation
Ermann, Leonardo; Carlo, Gabriel Gustavo; Symbolic walk in regular networks; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 48; 3; 12-2014; 35102-35115
dc.identifier.issn
1751-8113
dc.identifier.uri
http://hdl.handle.net/11336/36612
dc.description.abstract
We find that a symbolic walk (SW) - performed by a walker with memory given by a Bernoulli shift - is able to distinguish between the random or chaotic topology of a given network. We show this result by means of studying the undirected baker network, which is defined by following the Ulam approach for the baker transformation in order to introduce the effect of deterministic chaos into its structure. The chaotic topology is revealed through the central role played by the nodes associated with the positions corresponding to the shortest periodic orbits of the generating map. They are the overwhelmingly most visited nodes in the limit cycles at which the SW asymptotically arrives. Our findings contribute to linking deterministic chaotic dynamics with the properties of networks constructed using the Ulam approach.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Chaotic Systems
dc.subject
Complex Networks
dc.subject
Symbolic Dynamics
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Symbolic walk in regular networks
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-02-14T13:19:45Z
dc.journal.volume
48
dc.journal.number
3
dc.journal.pagination
35102-35115
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica; Argentina
dc.description.fil
Fil: Carlo, Gabriel Gustavo. Comisión Nacional de Energía Atómica; Argentina
dc.journal.title
Journal of Physics A: Mathematical and Theoretical
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8113/48/3/035102
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1751-8113/48/3/035102/meta
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