AMATH 651Introduction to Dynamical Systems
- Units
- 0.50
- Level
- Graduate
- Faculty
- Mathematics
- Subject
- Applied Mathematics
AMATH 651 as listed in the Fall 2026 Graduate Calendar. The main page has the current version, when it runs, and seats.
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. (Held with AMATH 451. Students in AMATH 651 will be expected to meet some additional learning objectives.)
Prerequisites
None listed.
Antirequisites
- Not completed nor concurrently enrolled in:
Leads to
No course lists it as a requisite.
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