MATH 4210 - Nonlinear Dynamics and Chaos

(crosslisted) MAE 5790
(MQR-AS)

Spring. 4 credits. Student option grading.

Forbidden Overlap: Students will not receive credit for both MATH 4200 and MATH 4210/MAE 5790 if either course is taken Fall 2017 or later.
Prerequisite: high level of performance in MATH 2210-MATH 2220, MATH 2230-MATH 2240, or MATH 1920 and MATH 2940; MATH 2930 or equivalent preparation in differential equations; 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.