1 citations · 1 across the 3 of their papers we have counts for
4 papers
Topology and dynamics of a flow that has a non-saddle set or a -set
Héctor Barge, J. J. Sánchez-Gabites, J. M. R. Sanjurjo
The aim of this paper is to study dynamical and topological properties of a flow in the region of influence of an isolated non-saddle set or a -set in a manifold. These are cert…
A criterion to detect a nontrivial homology of an invariant set of a flow in
J. J. Sánchez-Gabites
Consider a flow in and let be the biggest invariant subset of some compact region of interest . The set is often not computable, bu…
A dynamical interpretation of the connection map of an attractor-repeller decomposition
J. J. Sánchez-Gabites
In Conley index theory one may study an invariant set by decomposing it into an attractor , a repeller , and the orbits connecting the two. The Conley indices of , …
Using an invariant knot of a flow to find additional invariant structure
J. J. Sánchez-Gabites
Consider a continuous flow in or any orientable -manifold. Let be an index pair in the sense of Conley and consider the region $N := \overline{Q_1 -…