Is the process of finding f′ chaotic?

dc.creatorMéndez-Lango, Héctor
dc.date2004-09-16
dc.date.accessioned2022-03-14T20:23:05Z
dc.date.available2022-03-14T20:23:05Z
dc.descriptionLet (H (C) , ρ) be the metric space of all entire functions f where the metric ρ induces the topology of uniform convergence on compact subsets of the complex plane. Let D : H (C) → H (C) be the linear mapping that assigns to each f its derivative, D(f) = f′ . We show in this note that the set of entire functions that are periodic under this map is dense in (H (C) , ρ). It implies that D : H (C) → H (C) is chaotic in the sense of Devaney.  es-ES
dc.formatapplication/pdf
dc.identifierhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/510
dc.identifier.urihttps://noesis.uis.edu.co/handle/20.500.14071/7089
dc.languagespa
dc.publisherUniversidad Industrial de Santanderes-ES
dc.relationhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/510/841
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2
dc.rights.creativecommonsAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
dc.rights.licenseAttribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.sourceRevista integración, temas de matemáticas; Vol. 22 Núm. 1 y 2 (2004): Revista Integración, temas de matemáticas; 37-41es-ES
dc.sourceREVISTA INTEGRACIÓN; v. 22 n. 1 y 2 (2004): Revista Integración, temas de matemáticas; 37-41pt-BR
dc.source2145-8472
dc.source0120-419X
dc.subjectEntire functionses-ES
dc.subjectchaotic mapses-ES
dc.titleIs the process of finding f′ chaotic?es-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dspace.entity.type
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