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Listar por palabra clave "Linear dynamics"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Linear dynamics"

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    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 ...
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    Dynamics of multidimensional Césaro operators 
    Conejero, J. Alberto; Mundayadan, A.; Seoane-Sepúlveda, J. B. (Belgian Mathematical Society, 2019-03)
    [EN] We study the dynamics of the multi-dimensional Cesar degrees integral operator on L-P (I-n), for I the unit interval, 1 < p < infinity, and n >= 2, that is defined as C(f)(x(1),...,x(n)) = 1/x(1)x(2)...x(n) ...
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    Finite Intersection Property and Dynamical Compactness 
    Huang, Wen; Khilko, Danylo; Kolyada, Sergey; Peris Manguillot, Alfredo; Zhang, Guohua (Springer-Verlag, 2018-09)
    [EN] Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in Huang et al. (J Differ Equ 260(9):6800-6827, 2016). In this paper we continue to ...
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    Linear chaos for non-local operators and numerical methods in PDEs 
    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 ...
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    Mixing properties for nonautonomous linear dynamics and invariant sets 
    Murillo Arcila, Marina; Peris Manguillot, Alfredo (Elsevier, 2013-02)
    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 ...
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    Nonlocal operators are chaotic 
    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 ...
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    On shadowing and chain recurrence in linear dynamics 
    Bernardes Jr., Nilson C.; Peris Manguillot, Alfredo (Elsevier, 2024-04)
    [EN] In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for operators on Banach spaces, but we exhibit ...
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    Recurrence properties for linear dynamical systems: An approach via invariant measures 
    Grivaux, Sophie; López-Martínez, Antoni (Elsevier, 2023-01)
    [EN] We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector x0, for an adjoint operator T on a separable ...
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    Set-Valued Chaos in Linear Dynamics 
    Bernardes, N. C. Jr.; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís (Springer-Verlag, 2017)
    [EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace ...
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    Strong mixing measures and invariant sets in linear dynamics 
    Murillo Arcila, Marina (Universitat Politècnica de València, 2015-03-31)
    The Ph.D. Thesis “Strong mixing measures and invariant sets in linear dynamics” has three differenced parts. Chapter 0 introduces the notation, definitions and the basic results that will be needed troughout the ...
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    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 ...