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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/187687
Title:
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Sets of periods for chaotic linear operators
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Author:
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Conejero, J. Alberto
Martínez Jiménez, Félix
Peris Manguillot, Alfredo
Ródenas Escribá, Francisco De Asís
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[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.[+]
[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.
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Subjects:
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Chaotic operators
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Hypercyclic operators
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Periodic points
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Copyrigths:
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Reconocimiento (by)
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Source:
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Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. (issn:
1578-7303
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DOI:
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10.1007/s13398-020-00996-z
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Publisher:
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Springer-Verlag
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Publisher version:
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https://doi.org/10.1007/s13398-020-00996-z
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Project ID:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./
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Thanks:
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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 ...[+]
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.
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Type:
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Artículo
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