Stephen Preston on Nostr: npub1tfxfz…qn4hu npub1j3tkw…dfrnv Yes, you can have infinitely many different ...

npub1tfxfz24qp6zykjngnxvp26fhztlj8h8srrf327afhtyy28rnptwshqn4hu (npub1tfx…n4hu) npub1j3tkwq3jlf9z4tdcuk8n0ywaaqqyfeydu62rp7kfwxl5ne20rksqwdfrnv (npub1j3t…frnv) Yes, you can have infinitely many different periods. The best known example is f(x) = cx(1-x) on the interval [0,1] for c between 0 and 4. The general statement is that if there is a point with period 3, then there are points of any other possible period as well.
https://www.johndcook.com/blog/2021/04/09/period-three-implies-chaos/