Topics include fixed points of one-dimensional maps; linear operators and linear approximations; stability and bifurcation; logistic maps. Cantor set, fractal sets, symbolic dynamics, conjugacy of maps. Dynamics in two dimensions. Introduction for students with little preparation to the recent discovery that, in certain regimes, fully deterministic mechanics can produce chaotic behavior.
Math (Undergraduate)
4 credits – 15 Weeks
Sections (Spring 2022)
MATH-UA 264-000 (8396)01/24/2022 – 05/09/2022 Mon,Wed11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Ampatzoglou, Ioakeim
MATH-UA 264-000 (8397)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Li, Guanchun