Graduate Studies and Postdoctoral Affairs (GSPA)
Needles Hall, second floor, room 2201
Subject:
Applied Mathematics (AMATH)
Catalog number:
651
Unit weight:
0.50
Meet type:
LEC
Grading basis:
NUM
Cross-listing(s):
N/A
Requisites:
Antireq: AMATH 451
Description:
A unified view of linear and nonlinear systems of ordinary differential equations in Rn. Flow operators and
their classification: contractions, expansions, hyperbolic flows. Stable and unstable manifolds. Phase-space
analysis. Nonlinear systems, stability of equilibria and Lyapunov functions. The special case of flows in the
plane, Poincare-Bendixson theorem and limit cycles. Applications to physical problems will be a motivating
influence. (Heldwith AMATH 451)
Topic titles:
N/A
Faculty:
Mathematics (MAT)
Academic level:
GRD
Course ID:
016207