- -

Sets of periods for chaotic linear operators

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Sets of periods for chaotic linear operators

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: ConejeroMartinezPeris ...
Tamaño: 229.5Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Martínez Jiménez, Félix es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.contributor.author Ródenas Escribá, Francisco De Asís es_ES
dc.date.accessioned 2022-10-13T18:07:16Z
dc.date.available 2022-10-13T18:07:16Z
dc.date.issued 2021-02-09 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/187687
dc.description.abstract [EN] We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces. es_ES
dc.description.sponsorship This work was supported by MICINN and FEDER, Projects MTM2016-75963-P and PID2019-105011GB-I00. The second and third authors were also supported by Generalitat Valenciana, Project PROMETEO/2017/102. We would to that the referees whose careful reading and observations produced an improvement in the presentation of the article. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Chaotic operators es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Periodic points es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Sets of periods for chaotic linear operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-020-00996-z es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Conejero, JA.; Martínez Jiménez, F.; Peris Manguillot, A.; Ródenas Escribá, FDA. (2021). Sets of periods for chaotic linear operators. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(2):1-7. https://doi.org/10.1007/s13398-020-00996-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-020-00996-z es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 7 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 115 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\455039 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.description.references Ali Akbar, K., Kannan, V., Gopal, S., Chiranjeevi, P.: The set of periods of periodic points of a linear operator. Linear Algebra Appl. 431(1–2), 241–246 (2009) es_ES
dc.description.references Alsedà, L., Llibre, J.: Periods for triangular maps. Bull. Austral. Math. Soc. 47(1), 41–53 (1993) es_ES
dc.description.references Alsedà, L., Juher, D., Mumbrú, P.: Periodic behavior on trees. Ergod. Theory Dynam. Syst. 25(5), 1373–1400 (2005) es_ES
dc.description.references Alsedà, L., Ruette, S.: On the set of periods of sigma maps of degree 1. Discrete Continuous Dyn. Syst. 35(10), 4683–4734 (2015) es_ES
dc.description.references Alsedà, L., Ruette, S.: Periodic orbits of large diameter for circle maps. Proc. Am. Math. Soc. 138(9), 3211–3217 (2010) es_ES
dc.description.references Alsedà, L., Llibre, J., Misiurewicz, M.: Combinatorial Dynamics and Entropy in Dimension One, Advanced Series in Nonlinear Dynamics, vol. 5. World Scientific Publishing Co. Inc, River Edge (1993) es_ES
dc.description.references Baker, I.N.: Fixpoints of polynomials and rational functions. J. Lond. Math. Soc. 39, 615–622 (1964) es_ES
dc.description.references Banks, J., Brooks, J., Cairns, G., Davis, G., Stacey, P.: On Devaney’s definition of chaos. Am. Math. Mon. 99, 332–334 (1992) es_ES
dc.description.references Bayart, F., Grivaux, S.: Hypercyclicity and unimodular point spectrum. J. Funct. Anal. 226(2), 281–300 (2005) es_ES
dc.description.references Bayart, F., Matheron, É.: Dynamics of Linear Operators, Cambridge Tracts in Mathematics, vol. 179. Cambridge University Press, Cambridge (2009) es_ES
dc.description.references Bernardes Jr., N.C., Bonilla, A., Müller, V., Peris, A.: Distributional chaos for linear operators. J. Funct. Anal. 265, 2143–2163 (2013) es_ES
dc.description.references Bernardes Jr., N.C., Bonilla, A., Müller, V., Peris, A.: Li-Yorke chaos in linear dynamics. Ergod. Theory Dynam. Syst. 35, 1723–1745 (2015) es_ES
dc.description.references Bonet, J., Martínez-Giménez, F., Peris, A.: Linear chaos on Fréchet spaces. Int. J. Bifur. Chaos Appl. Sci. Eng. 13(7), 1649–1655 (2003) es_ES
dc.description.references Cabral Balreira, E., Elaydi, S., Luís, V.: Global dynamics of triangular maps. Nonlinear Anal. 104, 75–83 (2014) es_ES
dc.description.references Chiranjeevi, P., Kannan, V., Gopal, S.: Periodic points and periods for operators on Hilbert space. Discrete Continuous Dynam. Syst. 33(9), 4233–4237 (2013) es_ES
dc.description.references Devaney, R.L.: An Introduction to Chaotic Dynamical Systems, 2nd edn. Addison-Wesley Studies in Nonlinearity. Addison-Wesley Publishing Company Advanced Book Program, Redwood City (1989) es_ES
dc.description.references Gopal, S., Raja, C.: Periodic points of solenoidal automorphisms. Topol. Proc. 50, 49–57 (2017) es_ES
dc.description.references Gouveia, M.R., Llibre, J.: Periods of periodic homeomorphisms of pinched surfaces with one or two branching points. Houst. J. Math. 45(4), 1227–1243 (2019) es_ES
dc.description.references Grivaux, S., Matheron, E.: Invariant measures for frequently hypercyclic operators. Adv. Math. 265, 371–427 (2014) es_ES
dc.description.references Grivaux, S., Matheron, É., Menet, Q.: Linear dynamical systems on Hilbert spaces: typical properties and explicit examples, Mem. Am. Math. Soc. 269(1315), 143 (2021). arXiv:1703.01854v1 es_ES
dc.description.references Grosse-Erdmann, K.-G.: Universal families and hypercyclic operators. Bull. Am. Math. Soc. (N.S.) 36(3), 345–381 (1999) es_ES
dc.description.references Grosse-Erdmann, K.-G., Peris Manguillot, A.: Linear Chaos. Universitext. Springer, London (2011) es_ES
dc.description.references Li, H.-C.: Periodic points of a linear transformation. Linear Algebra Appl. 437(10), 2489–2497 (2012) es_ES
dc.description.references Li, T.Y., Yorke, J.A.: Period three implies chaos. Am. Math. Mon. 82(10), 985–992 (1975) es_ES
dc.description.references Muñoz-Fernández, G.A., Seoane-Sepúlveda, J.B., Weber, A.: The set of periods of chaotic operators and semigroups. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 105(2), 397–402 (2011) es_ES
dc.description.references Muñoz-Fernández, G.A., Seoane-Sepúlveda, J.B., Weber, A.: Periods of strongly continuous semigroups. Bull. Lond. Math. Soc. 44(3), 480–488 (2012) es_ES
dc.description.references Šarkovskiĭ, O. M.: Co-existence of cycles of a continuous mapping of the line into itself. Ukrain. Mat. Z̆. 16, 61–71 (1964) es_ES
upv.costeAPC 2750 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem