[EN] The problem of the bar breakage diagnosis in electrical induction cage machines is a matter of increasing concern nowadays, due to the widely spread use of these machines in the industry. The classical approach, focused ...
Méndez Gómez, Héctor Bryan(Universitat Politècnica de València, 2019-07-30)
[ES] Un sistema dinámico discreto está formado por una aplicación continua f:X->X definida en un espacio métrico (X,d). El objetivo general de la dinámica discreta es el estudio de las órbitas de cada punto de X. Hay una ...
[EN] We characterize chaos for \phi;(B) on Banach sequence spaces, where \phi; is a Linear Fractional Transformation and B is the usual backward shift operator. Characterizations are computable since they involve only the ...
Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(MDPI AG, 2021-11)
[EN] Given a continuous map f : X -> X on a metric space, it induces the maps f over bar :K(X) -> K(X), on the hyperspace of nonempty compact subspaces of X, and (f) over cap :F(X) -> F(X), on the space of normal fuzzy ...
Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís(Springer-Verlag, 2016)
[EN] The phenomenon of chaos has been exhibited in mathematical nonlinear models that describe traffic flows, see, for instance (Li and Gao in Modern Phys Lett B 18(26-27):1395-1402, 2004; Li in Phys. D Nonlinear Phenom ...
Conejero Casares, José Alberto; Martínez Jiménez, Félix(Springer Verlag (Germany), 2011-09)
We give sufficient conditions for chaos of (differential) operators on Hilbert spaces of entire functions. To this aim we establish conditions on the coefficients of a polynomial P(z) such that P(B) is chaotic on the space ...
Pérez Pérez, Pedro Antonio(Universitat Politècnica de València, 2013-03-10)
[ES] En este trabajo se estudia la dinámica de algunos métodos iterativos empleados para resolver ecuaciones no lineales. Se describirán a detalle algunas características de las funciones racionales obtenidas al aplicar ...
Galán Céspedes, Víctor José(Universitat Politècnica de València, 2015-12-18)
[EN] A continuous and linear operator defined on a Banach space is hipercyclic if it supports a dense orbit, that is, if there exists a vector such that the set of all its iterations through the operator is dense in the ...
In this article we answer in the negative the question of whether hypercyclicity is sufficient for distributional chaos for a continuous linear operator (we even prove that the mixing property does not suffice). Moreover, ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2012-01-10)
Los operadores desplazamiento a izquierda proporcionan una clase de sistemas dinámicos en espacios infinito dimensionales. En esta memoria se da una caracterización de la hiperciclicidad y del caos, en el sentido de Devaney, ...
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 ...
Jornet Casanova, David(Universitat Politècnica de València, 2015-09-22)
Los operadores pseudodiferenciales son generalizaciones de los operadores integrales singulares y de los operadores en derivadas parciales con coeficientes variables. A cada operador le corresponde un símbolo, que es una ...
[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 ...
Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2021-02-09)
[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.
We characterize when backward shift operators defined on Banach sequence spaces exhibit the strong specification property. In particular, within this framework, the specification property is equivalent to the notion of ...
Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2019-06)
[EN] We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2016-03-10)
[EN] The dynamics of linear operators, namely linear dynamics, is mainly concerned with the behaviour of iterates of linear transformations. Hypercyclicity is the study of linear operators that possess a dense orbit. ...