Courses of Study 2020-2021 
    
    Mar 29, 2024  
Courses of Study 2020-2021 [ARCHIVED CATALOG]

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MAE 5790 - Nonlinear Dynamics and Chaos


     
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 .
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. Co-meets with MATH 4210 .

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.



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