68 citations · 295 across the 20 of their papers we have counts for
4 papers · 1 filter
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…
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…
On Shadowing and Chain Recurrence in Linear Dynamics
Nilson C. Bernardes, Alfredo Peris
In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for oper…
Finite intersection property and dynamical compactness
Wen Huang, Danylo Khilko, Sergiy Kolyada +2
Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in [22]. In this paper we continue to investigate t…