In this paper, we will study the chaotic behaviour, in the sense of Devaney, of infinite-dimensional linear systems on Banach spaces, especially we will study the solution C 0-semigroups of operators of these systems. We ...
Ballester Bolinches, Adolfo; Cosme-Llópez, E.; Esteban Romero, Ramón; Rutten, J.J.M.M.(Alexandru Ioan Cuza University of Iasi, 2015)
The main goal in this paper is to use a dual equivalence in automata theory started in [25] and developed in [3] to prove a general version of the Eilenberg-type theorem presented in [4]. Our principal results confirm the ...
Candeal, Juan C.; de Miguel, Juan R.; Induráin, Esteban; Mehta, Ghansyam B.(Universitat Politècnica de València, 2004-04-01)
[EN] The abstract concept of entropy is interpreted throughthe concept of numerical representation of a totally preordered set sothat the concept of composition of systems or additivity of entropy canbe analyzed through ...
Frerick, Leonhard; Jorda Mora, Enrique; Kalmes, Thomas; Wengenroth, Jochen(Elsevier, 2014-04-01)
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequences, its generator is a continuous linear operator A is an element of L(omega) and that, for all x is an element of omega ...
Length preserving morphisms and inverse of substitutions are two well-studied operations on regular languages. Their connection with varieties generated by power monoids was established independently by Reutenauer and ...