MAE 5790 - Nonlinear Dynamics and Chaos

Spring. 3 credits.

Prerequisite: MATH 2930 or equivalent. Formerly TAM 5780.

Staff.

Introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional systems; bifurcations; phase plane; nonlinear oscillators; and Lorenz equations, chaos, strange attractors, fractals, iterated mappings, period doubling, renormalization.