MAE 5790 - Nonlinear Dynamics and Chaos

Spring. 3 credits. Student option grading.

Forbidden Overlap: due to an overlap in content, students will receive credit for only one course in the following group: MAE 5790, MATH 4200, MATH 4210, MATH 5200.
Prerequisite: high level of performance in any of MATH 2210-MATH 2220, MATH 2230-MATH 2240, MATH 1920-MATH 2940, or equivalent. Recommended prerequisite: MATH 2930 or equivalent preparation in differential equations. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by taking a 3000-level MATH course. Co-meets with MATH 4210.

A. Nadeau.

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.