May 05, 2024  
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2021/2022 University Catalog [ARCHIVED CATALOG]

MATH 638 - Continuous Dynamical Systems and Chaos

Units: 3

Prerequisite(s): MATH 337  or MATH 537  and MATH 254  or MATH 342A , MATH 342B  with a grade of C (2.0) or better in each course.

Nonlinear systems of differential equations, potential fields, periodic solutions, Lyapunov functions. Chaos in differential equations, Lyapunov exponents, chaotic attractors, Poincare maps. Lorenz and Rossler attractors, forced oscillators, Chua’s circuit, stable manifolds. Bifurcations. Applications in science and engineering.