In this talk, we'll define what a dynamical system is, and what it means for a dynamical system to behave chaotically. We'll look in detail at what seems at first like a silly example of a chaotic dynamical system. Then we'll see why it's not such a silly example after all, because it allows us to prove many other dynamical systems are chaotic.

“Chaos theory says two things. First, that complex systems like weather have an underlying order. Second, the reverse of that − that simple systems can produce complex behavior.” - Ian Malcolm from Jurassic Park