Prerequisites: MATH 010B; MATH 046 or MATH 146A; MATH 113 or MATH 131; or consent of instructor
Description: Explores examples of dynamical systems, quadratic maps, maps of the circle, and higher- dimensional examples. Includes symbolic dynamics, Sarkovskii’s theorem, hyperbolicity, and structural sta- bility. Introduces chaotic dynamical systems and the period doubling route to chaos. Also introduces basic notions from complex dynamics. Includes the Julia set and the Mandelbrot set.