[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 ...
Conejero Casares, José Alberto; Albors Sorolla, Ana María; Murillo Arcila, Marina; Vivancos Ramón, María Victoria; Vicerrectorado de Alumnado y Servicios al Estudiante; Generalitat Valenciana; Fundación para la Calidad en la Educación, Generalitat Valenciana; Universitat Politècnica de València(2016)
La Universitat Politècnica de València (UPV), en colaboración con la Conselleria de Educació, organizó el Campus PRAKTIKUM UPV-CONSELLERIA D’EDUCACIÓ durante los años 2010 a 2012, dirigido a alumnos de Bachillerato y de ...
Lizama, Carlos; Murillo Arcila, Marina; Trujillo Guillen, Macarena(American Institute of Mathematical Sciences, 2022-06-06)
[EN] In this article we propose an alternative formulation to model a thermal-optical coupled problem involving laser heating. We show that by using the Fractional Beer-Lambert Law (FBLL) instead of the Beer-Lambert Law ...
[EN] In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of sequences but also convert every member of some dense vector space consisting, except for zero, of ...
García-Pacheco, Francisco Javier; Miralles, Alejandro; Murillo Arcila, Marina(Springer-Verlag, 2022-01)
[EN] Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
[EN] We consider the maximal regularity problem for a PDE of linear acoustics, named the Van Wijngaarden-Eringen equation, that models the propagation of linear acoustic waves in isothermal bubbly liquids, wherein the ...
[EN] We examine the Cauchy problem for a model of linear acoustics, called the Moore-Gibson-Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. ...
Conejero, J. Alberto; Fenoy, Mar; Murillo Arcila, Marina; Seoane Sepúlveda, Juan B.(Springer-Verlag, 2017-07)
[EN] The search of lineability consists on finding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex ...
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 ...
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 ...
[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 ...
[EN] We provide a characterization for the existence and uniqueness of solutions in the space of vector-valued sequences l(p) (Z, X)for the multiterm fractional delayed model in the form
Delta(alpha)u(n) + lambda ...
Lizama, Carlos; Murillo Arcila, Marina(American Institute of Mathematical Sciences, 2022-08)
[EN] We study discrete time maximal regularity in Lebesgue spaces of sequences for time-stepping schemes arising from Lubich's convolution quadrature method. We show minimal properties on the quadrature weights that ...
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 ...
[EN] We show the remarkable fact that the nonlocal property of the discrete N dimensional fractional Laplacian acting in the second variable of the lattice N x Z(N) can be exchanged with an equivalent memory corresponding ...
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 ...
Conejero, J. Alberto; Muñoz-Fernández, Gustavo A.; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno(Belgian Mathematical Society, 2015)
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et ...
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 ...
Our purpose is to obtain a very effective and general method to prove that certain
C0-semigroups admit invariant strongly mixing measures. More precisely, we show that
the frequent hypercyclicity criterion for C0-semigroups ...