Period 3 Implies Chaos - Dynamical Systems | Lecture 32

NOV 28 2023 · 12:00

In this lecture we learn about one of the most famous results in all of chaos theory: "Period 3 Implies Chaos." This incredible result is due to Li and Yorke and was published in 1975. In fact, it is the first occurrence of the word chaos in the mathematics literature to describe the complex dynamics that can arise in discrete-time dynamical systems. In this lecture we state and prove the "Period 3 Theorem." Interestingly, one needs little more than basic calculus to arrive at the result. Towards the end of the…