Units: 4
Hours: Lecture, 3 hours; extra reading, 3 hours
Catalog page 482
Prerequisites: MATH 206C; graduate standing; or consent of instructor
Description: Introduction to stability analysis of continuous dynamical systems with applications in physics, biology, and engineering. Topics include phase plane analysis; stability of equilibria; asymptotic stability and Lyapunov stability; linear stability analysis of infinite- dimensional dynamical systems; limit cycles; and global attractors and their fractal dimension.