3 papers
math.DS2020
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…
math.DS2019
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…
math.DS2019
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…