Repository logo
 
Publication

Information theory, synchronization and topological order in complete dynamical networks of discontinuous maps

2021-04Journal article Restricted access
Simple item page
dc.contributor.authorRocha, J. Leonel
dc.contributor.authorCarvalho, S.
dc.date.accessioned2020-12-16T18:18:04Z
dc.date.available2020-12-16T18:18:04Z
dc.date.issued2021-04
dc.descriptionEste trabalho foi financiado pelo Concurso Anual para Projetos de Investigação, Desenvolvimento, Inovação e Criação Artística (IDI&CA) 2016 do Instituto Politécnico de Lisboa. Código de referência IPL/2019/MISRedes_ISEL
dc.description.abstractThis paper is dedicated to the study of information measures, synchronization and a topological order in complete dynamical networks of discontinuous piecewise linear maps with different slopes. It stands out that the networks topologies are characterized by circulant matrices and the conditional Lyapunov exponents are explicitly determined. Some properties of the mutual information rate and the Kolmogorov–Sinai entropy, depending on the synchronization interval, are discussed. A topological order between the complete dynamical networks is presented, which is characterized by the monotony of the network topological entropy. It is proved that if the network topological entropy increases, then the mutual information rate and the Kolmogorov–Sinai entropy increase or decrease, according to the variation of the coupling parameter. Furthermore, various types of computer simulations show the experimental applications of these results and techniques.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, José Leonel; CARVALHO, S. – Information theory, synchronization and topological order in complete dynamical networks of discontinuous maps. Mathematics and Computers in Simulation. ISSN 0378-4754. Vol.182 (2021), pp. 340-352pt_PT
dc.identifier.issn0378-4754
dc.identifier.urihttp://hdl.handle.net/10400.21/12492
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationUIDB/00006/2020 (CEAUL) - FCTpt_PT
dc.relationUIDB/04721/2020 (CEAFEL) - FCTpt_PT
dc.relationProjeto financiado no âmbito do Concurso de Projetos de Investigação, Desenvolvimento, Inovação & Criação Artística (IDI&CA) financiados pelo Instituto Politécnico de Lisboa. IPL/2019/MISRedes_ISELpt_PT
dc.subjectInformation theorypt_PT
dc.subjectSynchronizationpt_PT
dc.subjectMutual information ratept_PT
dc.subjectKolmogorov–Sinai entropypt_PT
dc.subjectComplete dynamical networkspt_PT
dc.subjectDiscontinuous Dynamicspt_PT
dc.subjectLyapunov exponentspt_PT
dc.subjectCirculant matrixpt_PT
dc.titleInformation theory, synchronization and topological order in complete dynamical networks of discontinuous mapspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage352pt_PT
oaire.citation.startPage340pt_PT
oaire.citation.titleMathematics and Computers in Simulationpt_PT
oaire.citation.volume182pt_PT
person.familyNameRocha
person.givenNameJ. Leonel
person.identifier1869126
person.identifier.ciencia-id6A13-4D5A-BABA
person.identifier.orcid0000-0001-8053-6822
person.identifier.scopus-author-id24829973500
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb0ebd0b9-c949-40d7-b8ea-41955a5559f1
relation.isAuthorOfPublication.latestForDiscoveryb0ebd0b9-c949-40d7-b8ea-41955a5559f1

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Information_JLRocha.pdf
Size:
395.69 KB
Format:
Adobe Portable Document Format
Download

Collections

ISEL - Matemática - Artigos