Why are periodic systems so unpredictable? #some3

Thank you for watching! We hope you enjoyed this video. This video was created as our entry to SoME3. Please feel free to leave any feedback you have in the comments below. Below are some of the resources we used and recommend if you found this interesting: Period 3 implies chaos: https://www.its.caltech.edu/~matilde/LiYorke.pdf A more informal take: https://www.johndcook.com/blog/2021/04/09/period-three-implies-chaos/ Avalanches: page 239/245 of https://link.springer.com/content/pdf/10.1007/3-540-32023-7.pdf?pdf=button Sharkovskii’s theorem: https://www.math.arizona.edu/~dwang/BurnsHasselblattRevised-1.pdf