Jul 25, 2025  
2021/2022 University Catalog 
    
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2021/2022 University Catalog [ARCHIVED CATALOG]

MATH 538 - Discrete Dynamical Systems and Chaos

Units: 3

Prerequisite(s): MATH 330 , MATH 337 , MATH 340 , MATH 342A , or A E 280  with a grade of C (2.0) or better. Proof of completion of prerequisite(s) required: Copy of transcript.

One- and two-dimensional iterated maps, equilibria and their stability, sensitive dependence on initial conditions, Lyapunov exponents, horseshoe maps, period doubling, chaotic attractors, Poincare maps, stable/unstable manifolds, bifurcations. Applications in biology, chemistry, physics, engineering, and other sciences.