Randomly came across this insightful image on the internet. It shows the importance of the Feigenbaum constants:
Going to wikipedia’s page: List of chaotic maps, one can find some really neat mathematical transformations. Arnold’s cat map seems like it would have some neat practical uses.
Gingerbread Man Map |
Exponential Map |
Chirikov–Taylor map |
Circle map with Poincare recurrence |
Arnold’s Cat Map |