20 citations · 32 across the 5 of their papers we have counts for
6 papers
When is the beginning the end? On full trajectories, limit sets and internal chain transitivity
Joel Mitchell
Let be a continuous map on a compact metric space and let , and denote the set of -limit sets, -limit sets and nonempty closed inter…
Expansivity and unique shadowing
Chris Good, Sergio Macías, Jonathan Meddaugh +2
Let be a continuous function on a compact metric space. We show that shadowing is equivalent to backwards shadowing and two-sided shadowing when the map is ont…
Orbital shadowing, -limit sets and minimality
Joel Mitchell
Let be a compact Hausdorff space, with uniformity , and let be a continuous function. For , a -pseudo-orbit is a sequence…
Shadowing, internal chain transitivity and -limit sets
Chris Good, Jonathan Meddaugh, Joel Mitchell
Let be a continuous map on a compact metric space and let , and denote the set of -limit sets, -limit sets and nonempty closed inter…
Preservation of shadowing in discrete dynamical systems
Chris Good, Joel Mitchell, Joe Thomas
We look at the preservation of various notions of shadowing in discrete dynamical systems under inverse limits, products, factor maps and the induced maps for symmetric products an…
On inverse shadowing
Chris Good, Joel Mitchell, Joe Thomas
We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stro…