J. Meddaugh

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20172022

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7 papers · 1 filter

math.DS2021

Shadowing as a Structural Property of the Space of Dynamical Systems

Jonathan Meddaugh

We demonstrate that there is a large class of compact metric spaces for which the shadowing property can be characterized as a structural property of the space of dynamical systems…

math.DS2020

A characterization of $ω$ -limit sets in subshifts of Baire space

Jonathan Meddaugh, Brian Raines

In this paper we consider the structure of $ω$ -limit sets in subshifts of Baire space. We consider both subshifts of finite type and subshifts of bounded type and we demonstrate th…

math.DS2020

Expansivity and unique shadowing

Chris Good, Sergio Macías, Jonathan Meddaugh +2

Let $f : X \to X$ 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 $f$ is ont…

math.DS2019

Shadowing, internal chain transitivity and $α$ -limit sets

Chris Good, Jonathan Meddaugh, Joel Mitchell

Let $f : X \to X$ be a continuous map on a compact metric space $X$ and let $α_{f}$ , $ω_{f}$ and $I C T_{f}$ denote the set of $α$ -limit sets, $ω$ -limit sets and nonempty closed inter…

math.DS2019

Limit Sets and Internal Transitivity in Free Group Actions

Kyle Binder, Jonathan Meddaugh

It has been recently shown that, under appropriate hypotheses, the $ω$ -limit sets of a dynamical system are characterized by internal chain transitivity. In this paper, we examine…

math.DS2018

On genericity of shadowing in one dimension