5 papers
Li-Yorke chaos on fuzzy dynamical systems
Illych Álvarez, Antoni López-Martínez
Given a dynamical system we investigate how several variants of Li-Yorke chaos behave with respect to the extended systems and $(\mathcal{F}…
Topological dynamics for the endograph metric II: Extremely radical properties
Antoni López-Martínez
Given a dynamical system we investigate several topological dynamical properties for its Zadeh extension endowed with the endograph metric $d_{E}…
Topological dynamics for the endograph metric I: Equivalences with other metrics
Antoni López-Martínez
Given a dynamical system we investigate several topological dynamical properties for its Zadeh extension endowed with the endograph metric $d_{E}…
Frequently hypercyclic composition operators on the little Lipschitz space of a rooted tree
Antoni López-Martínez
We characterize the strictly increasing symbols whose composition operators satisfy the Frequent Hypercyclicity Criterion on the l…
Recurrence in collective dynamics: From the hyperspace to fuzzy dynamical systems
Illych Alvarez, Antoni López-Martínez, Alfred Peris
We study for a dynamical system some of the principal topological recurrence-kind properties with respect to the induced maps $\overline{f}:\mathcal{K}(X)\lo…