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dc.contributor.authorGiménez, Ángel-
dc.contributor.authorAMIGO, JOSE M.-
dc.contributor.otherDepartamentos de la UMH::Estadística, Matemáticas e Informáticaes_ES
dc.date.accessioned2024-02-02T17:07:13Z-
dc.date.available2024-02-02T17:07:13Z-
dc.date.created2020-
dc.identifier.citationEntropy 2020, 22(10)es_ES
dc.identifier.issn1099-4300-
dc.identifier.urihttps://hdl.handle.net/11000/30984-
dc.description.abstractThe main result of this paper is a proof using real analysis of the monotonicity of the topological entropy for the family of quadratic maps, sometimes called Milnor’s Monotonicity Conjecture. In contrast, the existing proofs rely in one way or another on complex analysis. Our proof is based on tools and algorithms previously developed by the authors and collaborators to compute the topological entropy of multimodal maps. Specifically, we use the number of transverse intersections of the map iterations with the so-called critical line. The approach is technically simple and geometrical. The same approach is also used to briefly revisit the superstable cycles of the quadratic maps, since both topics are closely related.es_ES
dc.formatapplication/pdfes_ES
dc.format.extent23es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjecttopological entropyes_ES
dc.subjectquadratic mapses_ES
dc.subjectMilnor’s Monotonicity Conjecturees_ES
dc.subjectsuperstable cycleses_ES
dc.subjectroot brancheses_ES
dc.subjecttransversalityes_ES
dc.subject.otherCDU::5 - Ciencias puras y naturaleses_ES
dc.titleEntropy Monotonicity and Superstable Cycles for the Quadratic Family Revisitedes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttps://doi.org/10.3390/e22101136es_ES
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