**Creed and Quest** by Nicholas B. Tufillaro

> The close connection between maps and flows - Poincare maps and suspensions - gives rise to **The Discrete Creed:
> Anything that happens in a flow also happens in a (lower-dimensional) discrete dynamical system (and conversely).

> This creed is implicit in Poinare's original work, but it was first enunciated by Smale.

>> Where do orbits go, and what do the do/see when they get there?

I read somewhere that every few years Smale, Abrahms and a few other would get together to discuss the unity of discrete and continuous dynamical systems.