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Visibility graphs of fractional Wu-Baleanu time series

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Visibility graphs of fractional Wu-Baleanu time series

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Lizama, C. es_ES
dc.contributor.author Mira-Iglesias, Ainara es_ES
dc.contributor.author Rodero-Gómez, Cristóbal es_ES
dc.date.accessioned 2021-02-02T04:32:24Z
dc.date.available 2021-02-02T04:32:24Z
dc.date.issued 2019-10-03 es_ES
dc.identifier.issn 1023-6198 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160420
dc.description.abstract [EN] We study time series generated by the parametric family of fractional discrete maps introduced by Wu and Baleanu, presenting an alternative way of introducing these maps. For the values of the parameters that yield chaotic time series, we have studied the Shannon entropy of the degree distribution of the natural and horizontal visibility graphs associated to these series. In these cases, the degree distribution can be fitted with a power law. We have also compared the Shannon entropy and the exponent of the power law fitting for the different values of the fractionary exponent and the scaling factor of the model. Our results illustrate a connection between the fractionary exponent and the scaling factor of the maps, with the respect to the onset of the chaos. es_ES
dc.description.sponsorship J.A. Conejero is supported Ministerio de Economia y Competitividad Grant Project MTM2016-75963-P. Carlos Lizama is supported by CONICYT, under Fondecyt Grant number 1180041. Cristobal Rodero-Gomez is funded by European Commission H2020 research and Innovation programme under the Marie Sklodowska-Curie grant agreement No. 764738. es_ES
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof The Journal of Difference Equations and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Discrete fractional calculus es_ES
dc.subject Caputo delta difference es_ES
dc.subject Logistic equation es_ES
dc.subject Visibility graphs es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Visibility graphs of fractional Wu-Baleanu time series es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/10236198.2019.1619714 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/764738/EU/Personalised In-Silico Cardiology/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICYT//1180041/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Conejero, JA.; Lizama, C.; Mira-Iglesias, A.; Rodero-Gómez, C. (2019). Visibility graphs of fractional Wu-Baleanu time series. The Journal of Difference Equations and Applications. 25(9-10):1321-1331. https://doi.org/10.1080/10236198.2019.1619714 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/10236198.2019.1619714 es_ES
dc.description.upvformatpinicio 1321 es_ES
dc.description.upvformatpfin 1331 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 9-10 es_ES
dc.relation.pasarela S\392378 es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Comisión Nacional de Investigación Científica y Tecnológica, Chile es_ES
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