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Symbolic fractional dynamics

dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorGalhano, Alexandra
dc.date.accessioned2014-02-06T15:51:20Z
dc.date.available2014-02-06T15:51:20Z
dc.date.issued2013
dc.description.abstractFractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as relevant as the classical counterpart. This paper explores the association of Fractional calculus and symbolic dynamics. The results are visualized by means of the multidimensional technique and reveal the association between the fractal dimension and one definition of fractional derivative.por
dc.identifier.doi10.1109/JETCAS.2013.2273826pt_PT
dc.identifier.issn2156-3357
dc.identifier.urihttp://hdl.handle.net/10400.22/3759
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherIEEEpor
dc.relation.ispartofseriesIEEE Journal Emerging and Selected Topics in Circuits and Systems; Vol. 3, Issue 3
dc.relation.publisherversionhttp://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6573388por
dc.subjectFractalspor
dc.subjectFractional calculuspor
dc.subjectMultidimensional scalingpor
dc.subjectScientific visualizationpor
dc.subjectSymbolic dynamicspor
dc.titleSymbolic fractional dynamicspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage474por
oaire.citation.issueIssue 3por
oaire.citation.startPage468por
oaire.citation.titleIEEE Journal Emerging and Selected Topics in Circuits and Systemspor
oaire.citation.volumeVol. 3por
person.familyNameTenreiro Machado
person.familyNameGalhano
person.givenNameJ. A.
person.givenNameAlexandra
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.orcid0000-0001-8262-1369
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
person.identifier.scopus-author-id6603868968
rcaap.rightsclosedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublicatione3969dd5-127d-4759-8008-e057e71a1baa
relation.isAuthorOfPublication.latestForDiscoverye3969dd5-127d-4759-8008-e057e71a1baa

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