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Listar por palabra clave "Hypercyclicity"

Mostrando ítems 1-11 de 11

Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation

Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís (Natural Sciences Publishing, 2015-09)

[EN] We study a third-order partial differential equation in the form $\tau u_{ttt} +\alpha u_{tt} -c^2 u_{xx} -b u_{xxt} =0, (1)$$ that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation ...
Chaotic semigroups from second order partial differential equations

Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2017-12-01)

[EN] We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution C-0-semigroup corresponding to a class of second-order partial differential equations. We also provide a ...
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 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 ...
Dynamics of multivalued linear operators

Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; Murillo Arcila, Marina (De Gruyter Open, 2017)

[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. ...
Dynamics of the solutions of the water hammer equations

Conejero, J. Alberto; Lizama, Carlos; Ródenas Escribá, Francisco de Asís (Elsevier, 2016-04-15)

[EN] In this note we provide a representation of the solution using an operator theoretical approach based on the theory of C-0-semigroups and cosine operator functions, when considering this phenomenon on a compressible ...
Dynamics on binary relations over topological spaces

Chen, Chung-Chuan; Conejero, J. Alberto; Kostic, Marko; Murillo Arcila, Marina (MDPI AG, 2018)

[EN] The existence of chaos and the quest of dense orbits have been recently considered for dynamical systems given by multivalued linear operators. We consider the notions of topological transitivity, topologically mixing ...
Linear dynamics of semigroups generated by differential operators

Conejero, J. Alberto; Lizama, Carlos; Murillo Arcila, Marina; Peris Manguillot, Alfredo (De Gruyter Open, 2017-06-09)

[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 ...
On the existence of chaos for the viscous van Wijngaarden-Eringen equation

Conejero Casares, José Alberto; Lizama, Carlos; Murillo Arcila, Marina (Elsevier, 2016)

We study the viscous van Wijngaarden–Eringen equation: ∂2u ∂t2 − ∂2u ∂x2 = (Red)−1 ∂3u ∂t∂x2 + a2 0 ∂4u ∂t2∂x2 (1) which corresponds to the linearized version of the equation that models the acoustic planar propagation ...
Two remarks on the set of recurrent vectors

López-Martínez, Antoni; Menet, Quentin (Elsevier, 2025-01-01)

[EN] We solve in the negative two open problems, related to the linear and topological structure of the set of recurrent vectors, asked by Sophie Grivaux, Alfred Peris and the first author of this paper. Firstly, we show ...