Gutiérrez Jaime, Andrés(Universitat Politècnica de València, 2023-09-26)
[ES] El presente trabajo pretende ofrecer herramientas de análisis de frecuencias dominantes en ECGs basadas en la transformada wavelet, fundamentalmente la transformada discreta para distintas familias ortogonales ...
We obtain new characterizations of Li Yorke chaos for linear operators on
Banach and Fréchet spaces. We also offer conditions under which an operator admits a
dense set or linear manifold of irregular vectors. Some of ...
Vargas Moreno, Álvaro(Universitat Politècnica de València, 2022-09-13)
[ES] En este trabajo se analiza la dinámica de algunos operadores fraccionarios. El objetivo es establecer las condiciones sobre las que estos operadores son caóticos. Para ello nos basaremos en probar caos para los ...
[EN] During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the ...
We study Li-Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li-Yorke chaos in terms of the existence of irregular vectors. Sufficient "computable" criteria for distributional ...
Bernardes, N. C., Jr.; Bonilla, A.; Peris Manguillot, Alfredo(Elsevier, 2020-02-01)
[EN] We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics ...
We study mixing properties (topological mixing and weak mixing of arbitrary order) for nonautonomous linear dynamical systems that are induced by the corresponding dynamics on certain invariant sets. The kinds of nonautonomous ...
Lizama, Carlos; Murillo Arcila, Marina; Peris Manguillot, Alfredo(American Institute of Physics, 2020-10)
[EN] We characterize for the first time the chaotic behavior of nonlocal operators that come from a broad class of time-stepping schemes of approximation for fractional differential operators. For that purpose, we use ...
An operator T acting on a normed space E is numerically hypercyclic if, for some (x, x*) is an element of Pi(E), the numerical orbit {x*(T-n(x)) : n >= 0} is dense in C. We prove that finite dimensional Banach spaces with ...
In this paper, we show that every complex Banach space X with dimension at least 2 supports a numerically hypercyclic d-homogeneous polynomial P for every . Moreover, if X is infinite-dimensional, then one can find hypercyclic ...
We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces. As a consequence we prove that every (real or complex) ...
Conejero Casares, José Alberto(Universitat Politècnica de València, 2015-10-13)
La primera parte lleva por título Operadores en Espacios de Fréchet y Espacios Localmente Convexos y está dedicada al estudio de las clases de los monomorfismos, de los operadores casi abiertos, de los operadores abiertos ...
[EN] We study a version of the specification property for linear dynamics. Operators having the specification property are investigated, and relationships with other well known dynamical notions such as mixing, Devaney ...
Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(MDPI AG, 2022-12-15)
[EN] Let X be a compact metric space and a continuous map f:X-->X which defines a discrete dynamical system (X,f). The map f induces two natural maps, namely \bar{f}:K(X)-->K(X) on the hyperspace K(X) of non-empty compact ...
[EN] We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an ...
Puig de Dios, Yunied(Universitat Politècnica de València, 2015-03-30)
A bounded and linear operator is said to be hypercyclic if there exists a
vector such that its orbit under the action of the operator is dense. The first
example of a hypercyclic operator on a Banach space was given in ...
[EN] We generalize the notions of hypercyclic operators, U-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new concept in linear dynamics, namely A-hypercyclicity. We then state an ...
López Martínez, Antoni(Universitat Politècnica de València, 2020-09-02)
[CA] L'objectiu del treball és l'estudi de la dinàmica d'operadors, i mes concretament nocions de recurrència per operadores. El treball contindrà les definicions i resultats bàsics de dinàmica topològica, de teoría ...