Academic Catalog 2022–2023

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MEE746 Nonlinear Dynamics and Chaos

[3–0, 3 cr.]

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.

Prerequisite: MTH304 Differential Equations