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 ...
Barrachina Civera, Xavier; Conejero Casares, José Alberto(Hindawi Publishing Corporation, 2012)
The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are ...
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 ...
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 ...
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 ...