NEUR 4370 - Applied Dynamical Systems

3 Credit Hours

Pre/Corequisites: Prerequisite: NEUR 3000 or MATH 2201 or 2211, with a grade of C or higher.
Description
Crosslisted with MATH 4275. Introduction to discrete and continuous dynamical systems. Topics include: phase space; linear and nonlinear systems; structural stability; classification of equilibrium states, invariant manifolds; Poincar 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. Cross-listed with: MATH 4275.