| Abstract: |
| A dynamical system $f:X\to X$ with $f$ continuous and $X$ metric has the shadowing property provided that for all $\epsilon>0$, there exists a $\delta>0$ such that for any $\delta$-pseudo-orbit, there is a true orbit that $\epsilon$-shadows it.
The shadowing property has links to a surprising number of other dynamical behaviors, and these links have been well-explored in compact systems. In this talk, we will discuss obstacles and progress in generalizing the notion of shadowing to non-compact dynamical systems. |
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