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Computability and dynamical systems

dc.contributor.authorBuescu, Jorge
dc.contributor.authorGraça, Daniel
dc.contributor.authorZhong, Ning
dc.date.accessioned2012-04-13T08:27:08Z
dc.date.available2012-04-13T08:27:08Z
dc.date.issued2011
dc.description.abstractIn this paper we explore results that establish a link between dynamical systems and computability theory (not numerical analysis). In the last few decades, computers have increasingly been used as simulation tools for gaining insight into dynamical behavior. However, due to the presence of errors inherent in such numerical simulations, with few exceptions, computers have not been used for the nobler task of proving mathematical results. Nevertheless, there have been some recent developments in the latter direction. Here we introduce some of the ideas and techniques used so far, and suggest some lines of research for further work on this fascinating topic.por
dc.identifier.otherAUT: DGR01772;
dc.identifier.urihttp://hdl.handle.net/10400.1/1013
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherM. Peixoto, A. Pinto, and D. Randpor
dc.relation.publisherversionhttp://www.springerlink.com/content/tw6681007h35k061/por
dc.titleComputability and dynamical systemspor
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage181por
oaire.citation.startPage169por
oaire.citation.titleDynamics and Games in Science Ipor
person.familyNameGraça
person.givenNameDaniel
person.identifier.ciencia-id2D11-56DE-3F11
person.identifier.orcid0000-0002-0330-833X
person.identifier.ridD-2335-2011
person.identifier.scopus-author-id8882791800
rcaap.rightsopenAccesspor
rcaap.typebookPartpor
relation.isAuthorOfPublicationba0c1461-5d2d-4f06-b648-df4a1a505bdf
relation.isAuthorOfPublication.latestForDiscoveryba0c1461-5d2d-4f06-b648-df4a1a505bdf

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