Thursday, June 03, 2021

Chaos Theory: (Why a skipped heart beat doesn't kill you, and more, like why a faucet drip can be irregular)

Feigenbaum

 

Chaos! “This Equation Will Change How You See the World: The Logistic Map”.

Johnny Hymen, on Versatium, explains how natural systems (even heart rhythms) become chaotic and then recover.  He plots the behavior of systems under the equation x sub (n+1) = rx (sub n) times (1- x sub n).

equation in text 


He also explains the Feigenbaum constant approx.. 4.669, as shown in this embedded Wikipedia diagram.

It is a constant of nature that is derived strictly from math. Related to all this is the Mandelbrot set in complex numbers. 

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