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Topological entropy of continuous self–maps on a graph
dc.contributor.author | García Guirao, Juan Luis | |
dc.contributor.author | Llibre Saló, Jaume | |
dc.contributor.author | Gao, Wei | |
dc.date.accessioned | 2020-04-29T09:34:39Z | |
dc.date.available | 2020-04-29T09:34:39Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Guirao, Juan & Llibre, Jaume & Gao, Wei. (2019). Topological entropy of continuous self-maps on a graph. Computational and Applied Mathematics. 38. 10.1007/s40314-019-0969-3 | es_ES |
dc.identifier.issn | 0101-8205 | |
dc.description.abstract | Let G be a graph and f be a continuous self–map on G. We provide sufficient conditions based on the Lefschetz zeta function in order that f has positive topological entropy. Moreover, for the particular graphs: p–flower graph, n-lips graph and (p+r1L1+:::+rsLs)–graph we are able to go further and state more precise conditions for having positive topological entropy. | es_ES |
dc.description.sponsorship | The second author is partially supported by the Ministerio de Economía, Industria y Competitividad, Agencia Estatal de Investigación grants MTM-2016-77278-P (FEDER) and MDM-2014-0445, the Agència de Gestió d’Ajuts Universitaris i de Recerca grant 2017SGR1617, and the H2020 European Research Council grant MSCA-RISE-2017-777911. | es_ES |
dc.format | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Science and Business Media | es_ES |
dc.relation.uri | https://link.springer.com/article/10.1007%2Fs40314-019-0969-3 | es_ES |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.title | Topological entropy of continuous self–maps on a graph | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.subject.other | Matemática Aplicada | es_ES |
dc.subject | Topological graph | es_ES |
dc.subject | Discrete dynamical systems | es_ES |
dc.subject | Lefschetz numbers | es_ES |
dc.subject | Lefschetz zeta function | es_ES |
dc.subject | Periodic point | es_ES |
dc.subject | Period | es_ES |
dc.subject | Topological entropy | es_ES |
dc.identifier.uri | http://hdl.handle.net/10317/8502 | |
dc.identifier.doi | 10.1007/s40314-019-0969-3 | |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs40314-019-0969-3 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.type.version | info:eu-repo/semantics/submittedVersion | es_ES |
dc.relation.projectID | MTM-2016-77278-P | es_ES |
dc.relation.projectID | MDM-2014-0445 | es_ES |
dc.relation.projectID | 2017SGR1617 | es_ES |
dc.relation.projectID | MSCA-RISE-2017-777911 | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |
dc.contributor.funder | Agència de Gestiö d'Ajuts Universitaris i de Recerca | es_ES |
dc.contributor.funder | European Research Council | es_ES |
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