MATH 538 - Discrete Dynamical Systems and Chaos

Units: 3
Grading Method: LCR: Letter Grade with Cr/NC available. The grading default for the class will be letter grade, but students can opt to take it for Cr/NC

Prerequisite(s): MATH 237, or MATH 330, or MATH 340, or 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.

Maximum Credits: 3
Typically Offered: Fall