MATH 4210 - Nonlinear Dynamics and Chaos

(crosslisted) MAE 5790
(MQR-AS)

Spring. 4 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 if 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. Enrollment limited to: graduate students, professional students, and seniors; juniors by permission only.

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.