Lecture 22 - Tue 2023 11 28 Continue with discrete maps. Liapunov exponents. % =============================================================================== Review from Lecture 20: Orbit Diagram and MORE ON Orbit Diagram. Recall the Logistic Map y = r*x*(1-x); 0 <= r <= 4 and 0 <= x <= 1. % % ----------------------------------------------------------------------------- % Lyapunov Exponent. See scan of hand-written lecture notes "Lecture20_2021_scan.pdf" Discrete and continuum definition. Implications for predictability of a positive Liapunov exponent: Doubling the time requires squaring the precision of the data. % % =============================================================================== EOF