When1: 1973
Who: Mitchell Feigenbaum [Feigenbaum, Mitchell]
What: physicist
Where: USA
Detail: He studied feedback systems and devised how to calculate order in one-dimensional-system chaos [1973], using quantum-field-theory renormalization group, stochastic processes, and fractals to remove infinities. Using y = r * (x - x^2) and x(t) = r * sin(pi * x(t - 1)), doubling oscillation period converges geometrically and so scales with constant ratio = 4.6692016090, to predict all doubling values. Functions are recursive {self-referential} and so introduce higher frequencies that indicate turbulence.
Mathematical Sciences>Mathematics>History>Complexity Theory
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Date Modified: 2022.0224