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Computability of limit sets for two-dimensional flows

2021Book part Open access
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dc.contributor.authorGraça, Daniel
dc.contributor.authorZhong, Ning
dc.date.accessioned2021-07-06T08:19:45Z
dc.date.available2021-07-06T08:19:45Z
dc.date.issued2021
dc.description.abstractA classical theorem of Peixoto qualitatively characterizes, on the two-dimensional unit ball, the limit sets of structurally stable flows defined by ordinary differential equations. Peixoto's density theorem further shows that such flows are typical in the sense that structurally stable systems form an open dense set in the space of all continuously differentiable flows. In this note, we discuss the problem of explicitly finding the limit sets of structurally stable planar flows.pt_PT
dc.description.sponsorshipUIDB/50008/2020, European Union’s Horizon 2020 grant agreement No 731143pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/978-3-030-80049-9pt_PT
dc.identifier.issn978-3-030-80048-2
dc.identifier.urihttp://hdl.handle.net/10400.1/16729
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relation.publisherversionhttps://www.springer.com/gp/book/9783030800482pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectComputabilitypt_PT
dc.subjectLimit setspt_PT
dc.subjectPlanar differential equationspt_PT
dc.titleComputability of limit sets for two-dimensional flowspt_PT
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage503pt_PT
oaire.citation.startPage494pt_PT
oaire.citation.titleConnecting with Computabilitypt_PT
oaire.citation.volume12813pt_PT
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.rightsopenAccesspt_PT
rcaap.typebookPartpt_PT
relation.isAuthorOfPublicationba0c1461-5d2d-4f06-b648-df4a1a505bdf
relation.isAuthorOfPublication.latestForDiscoveryba0c1461-5d2d-4f06-b648-df4a1a505bdf

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