# Shadowing Lemma

A curious creature that exists in only two dimensions, and eats mathematicians. Parodies the words lamina, a 2-dimensional mathematical object, and lemma, a mathematical theorem used to prove other theorems. There is also a whiff of Lemming about it - a real creature with a mythical need for self-harm.

## Annotation

*Shadowing Lemmas* exist on Roundworld too, but not as mathematician-eating creatures, more's the pity. Shadowing describes the situation where a true orbit of a dynamical system such as a differential equation or a map lies uniformly near (that is, shadows) a pseudo (or approximate) orbit. **The shadowing lemma** for discrete dynamical systems has been described in Barreto (2008). In this entry the analogous results for continuous dynamical systems, that is, flows, are described.

No, I don't get it either.