2 papers
math.DS2024
Nonstandard analysis of asymptotic points of expansive systems
Alfonso Artigue, Luis Ferrari, Jorge Groisman
In this paper we apply techniques from nonstandard analysis to study expansive dynamical systems. Among other results, we provide a necessary and sufficient condition for an expans…
math.DS2023
Topology of global attractors for homeomorphisms with the topological shadowing property in
Gonzalo Cousillas, Jorge Groisman
This paper studies the behavior of dynamical systems in non-compact spaces, specifically focusing on the concepts of global attractors and shadowing. Let be a compact global at…