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math.DS2024★ 4 cited
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…
math.FA2024
On disjoint dynamical properties and Lipschitz-free spaces
Ch. Cobollo, A. Peris
The notion of disjoint -transitivity for a Furstenberg family is introduced with the aim to generalize properties derived from disjoint hypercyclic opera…
math.DS2024
Generalized Hyperbolicity, Stability and Expansivity for Operators on Locally Convex Spaces
Nilson C. Bernardes, Blas M. Caraballo, Udayan B. Darji +2
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that…