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Listar por palabra clave "Distributional chaos"

Mostrando ítems 1-13 de 13

Distributional chaos for linear operators

Bernardes, Nilson C.; Bonilla, Antonio; Müller, Vladimír; Peris Manguillot, Alfredo (Elsevier, 2013-11)

We characterize distributional chaos for linear operators on Fréchet spaces in terms of a computable condition (DCC), and also as the existence of distributionally irregular vectors. A sufficient condition for the existence ...
Distributional chaos for operators on Banach spaces

Bernardes, Nilson C.; Bonilla, Antonio; Peris Manguillot, Alfredo; Wu, X. (Elsevier, 2018-03-15)

[EN] Four notions of distributional chaos, namely DC1, DC2, DC21/2 and DC3, are studied within the framework of operators on Banach spaces.. It is known that, for general dynamical systems, DC1 subset of DC2 subset of ...
Distributional chaos for operators with full scrambled sets

Martínez Jiménez, Félix; Oprocha, Piotr; Peris Manguillot, Alfredo (Springer Verlag (Germany), 2013-06)

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, ...
Distributional chaos for strongly continuous semigroups of operators

Albanese, Angela A.; Barrachina Civera, Xavier; Mangino, Elisabetta Maria; Peris Manguillot, Alfredo (American Institute of Mathematical Sciences (AIMS), 2013-09)

Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional ...
Distributional chaos for the Forward and Backward Control traffic model

Barrachina Civera, Xavier; Conejero, J. Alberto; Murillo Arcila, Marina; Seoane-Sepulveda, Juan B. (Elsevier, 2015-08-15)

The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery ...
Distributional chaos of C0-semigroups of operators

Barrachina Civera, Xavier (Universitat Politècnica de València, 2013-04-26)

El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva para aplicaciones del intervalo compacto en sí ...
Distributionally chaotic families of operators on Fréchet spaces

Conejero, J. Alberto; Kostic, Marco; Miana Sanz, Pedro Jose; Murillo Arcila, Marina (American Institute of Mathematical Sciences (AIMS), 2016-09)

The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both ...
Distributionally chaotic translation semigroups

Barrachina Civera, Xavier; Peris Manguillot, Alfredo (Taylor & Francis, 2012)

We study distributional chaos for the translation C 0-semigroup on weighted L p -spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete ...
Linear chaos for the Quick-Thinking-Driver model

Conejero, J. Alberto; Murillo Arcila, Marina; Seoane-Sepúlveda, Juan B (Springer Verlag (Germany), 2016-04)

In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google ...
Li–Yorke and distributionally chaotic operators

Bermúdez, T.; Bonilla, A.; Martínez Jiménez, Félix; Peris Manguillot, Alfredo (Elsevier, 2011)

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 ...
Mean Li-Yorke chaos in Banach spaces

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 ...
On the existence of polynomials with chaotic behaviour

Bernardes, Nilson C.; Peris Manguillot, Alfredo (Hindawi Publishing Corporation, 2013)

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) ...
The specification property for backward shifts

Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo (Taylor & Francis, 2012)

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 ...