MATH 4210 - Nonlinear Dynamics and Chaos

(crosslisted) MAE 5790
(MQR-AS)

Spring. 4 credits.

Prerequisite: high level of performance in any of MATH 2210-MATH 2220, MATH 2230-MATH 2240, MATH 1920 and MATH 2940, MATH 2930, or permission of instructor. Students will be expected to be comfortable with proofs.

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.