May 13, 2024  
2021-2022 Undergraduate Catalog 
    
2021-2022 Undergraduate Catalog [ARCHIVED CATALOG]

MATH 4275 - Applied Dynamical Systems


3 Credit Hours
Prerequisites: Math 2652 with grades of C or higher.
Description
An introduction to discrete and continuous dynamical systems. Topics include: phase space; linear and nonlinear systems; structural stability; classification of equilibrium states, invariant manifolds; poincare maps, fixed points and period orbits; stability boundaries; local bifurcations; homoclinic orbits; routes to chaos in dissipative systems; applications from physics, biology, population dynamics, economics. Three lecture hours per week.