4 citations · 12 across the 10 of their papers we have counts for
6 papers · 1 filter
Knotted toroidal sets, attractors and incompressible surfaces
Héctor Barge, J. J. Sánchez-Gabites
In this paper we give a complete characterization of those knotted toroidal sets that can be realized as attractors for both discrete and continuous dynamical systems globally defi…
The geometric index and attractors of homeomorphisms of
H. Barge, J. J. Sánchez-Gabites
In this paper we focus on compacta which possess a neighbourhood basis that consists of nested solid tori . We call these sets toroidal. In \cite{he…
On the set of wild points of attracting surfaces in
J. J. Sánchez-Gabites
Suppose that a closed surface is an attractor, not necessarily global, for a discrete dynamical system. Assuming that its set of wild points is total…
Arcs, balls and spheres that cannot be attractors in
J. J. Sánchez-Gabites
For any compact set we define a number that is either a nonnegative integer or . Intuitively, provides some information on how wild…
Embedding of global attractors and their dynamics
Eleonora Pinto de Moura, James C. Robinson, Jaime J. Sánchez-Gabites
Using shape theory and the concept of cellularity, we show that if is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $…
Unstable attractors in manifolds
J. J. Sánchez-Gabites
Let be a locally compact metric space endowed with a continuous flow . Frequently an attractor for exists which is of interest…