20 citations · 67 across the 12 of their papers we have counts for
15 papers
The shadowing property for piecewise monotone interval maps
Adarsh Bura, Chris Good, Tony Samuel
The property of shadowing has been shown to be fundamental in both the theory of symbolic dynamics as well as continuous dynamical systems. A quintessential class of discontinuous…
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…
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…
Equicontinuity, Transitivity and Sensitivity: the Auslander-Yorke Dichotomy Revisited
Chris Good, Robert Leek, Joel Mitchell
We discuss topological equicontinuity and even continuity in dynamical systems. In doing so we provide a classification of topologically transitive dynamical systems in terms of eq…