From the 2 of 7 linked papers with an AI index.
7 papers
Li-Yorke chaos on fuzzy dynamical systems
Illych Ãlvarez, Antoni López-MartÃnez
The paper examines how various forms of Li‑Yorke chaos are preserved when a dynamical system is extended to the space of compact subsets and to the space of normal fuzzy subsets, p…
Topological dynamics for the endograph metric II: Extremely radical properties
Antoni López-MartÃnez
The paper studies how the Zadeh extension of a dynamical system behaves under the endograph metric, showing that several topological dynamical properties—such as contractivity, exp…
Topological dynamics for the endograph metric I: Equivalences with other metrics
Antoni López-MartÃnez
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-MartÃnez
We characterize the strictly increasing symbols whose composition operators satisfy the Frequent Hypercyclicity Criterion on the…
Shifts on trees versus classical shifts in chain recurrence
Antoni López-MartÃnez, Dimitris Papathanasiou
We construct continuous (and even invertible) linear operators acting on Banach (even Hilbert) spaces whose restrictions to their respective closed linear subspaces of chain recurr…
Recurrence in collective dynamics: From the hyperspace to fuzzy dynamical systems
Illych Alvarez, Antoni López-MartÃnez, 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…