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Spectral invariants of periodic nonautonomous discrete dynamical systems

2015-10-01Journal article Restricted access
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dc.contributor.authorAlves, João Ferreira
dc.contributor.authorMálek, Michal
dc.contributor.authorSilva, Luís
dc.date.accessioned2016-04-15T16:28:19Z
dc.date.available2016-04-15T16:28:19Z
dc.date.issued2015-10-01
dc.description.abstractFor an interval map, the poles of the Artin-Mazur zeta function provide topological invariants which are closely connected to topological entropy. It is known that for a time-periodic nonautonomous dynamical system F with period p, the p-th power [zeta(F) (z)](p) of its zeta function is meromorphic in the unit disk. Unlike in the autonomous case, where the zeta function zeta(f)(z) only has poles in the unit disk, in the p-periodic nonautonomous case [zeta(F)(z)](p) may have zeros. In this paper we introduce the concept of spectral invariants of p-periodic nonautonomous discrete dynamical systems and study the role played by the zeros of [zeta(F)(z)](p) in this context. As we will see, these zeros play an important role in the spectral classification of these systems.pt_PT
dc.identifier.citationALVES, João Ferreira; MÁLEK, Michal; SILVA, Luís - Spectral invariants of periodic nonautonomous discrete dynamical systems. Journal of Mathematical Analysis and Applications. ISSN. 0022-247X. Vol. 430, N.º 1 (2015), pp. 85-97.pt_PT
dc.identifier.doi10.1016/j.jmaa.2015.04.059pt_PT
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttp://hdl.handle.net/10400.21/6004
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEpt_PT
dc.relationIC47813059pt_PT
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022247X1500390Xpt_PT
dc.subjectNonautonomous discrete dynamical systemspt_PT
dc.subjectInterval mapspt_PT
dc.subjectZeta functionspt_PT
dc.subjectSpectral invariantspt_PT
dc.subjectTopological entropypt_PT
dc.titleSpectral invariants of periodic nonautonomous discrete dynamical systemspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PEst-OE%2FEEI%2FLA0009%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI0117%2F2014/PT
oaire.citation.endPage97pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage85pt_PT
oaire.citation.volume430pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStream5876
person.familyNameSilva
person.givenNameLuís
person.identifier2932165
person.identifier.ciencia-id8B1E-D056-85B6
person.identifier.orcid0000-0002-2517-7932
person.identifier.scopus-author-id14050905800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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