NEUR 6370 - Applied Dynamical Systems

3 Credit Hours
Prerequisites: NEUR 6010 or BIOL 6102 with a C or higher, or consent of instructor.
Description
(Cross-listed with: MATH 6275.). 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.