3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
Linearization of topologically Anosov homeomorphisms of non compact surfaces
Gonzalo Cousillas, Jorge Groisman, Juliana Xavier
We study the dynamics of Topologically Anosov homeomorphisms of non compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if $f:S…
Generic homeomorphisms with shadowing of one-dimensional continua
Alfonso Artigue, Gonzalo Cousillas
In this article we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.
Topologically Anosov plane homeomorphisms
Gonzalo Cousillas, Jorge Groisman, Juliana Xavier
This paper deals with classifying the dynamics of {\it Topologically Anosov} plane homeomorphisms. We prove that a Topologically Anosov homeomorphism $f:\mathbb{R}^2 \to \mathbb{R}…
A fixed point theorem for plane homeomorphisms with the topological shadowing property
Gonzalo Cousillas
In this paper we show that every homeomorphism of the plane with the topological shadowing property has a fixed point. Also, we show that a linear isomorphism of an Euclidean space…