In this program
- Existence
- Uniqueness for ODEs
- Flows, orbits, and invariant sets
- Limit sets, ω-limit sets, and attractors
- Lyapunov stability
- Lyapunov functions
- Stable and unstable manifolds (local theory)
Flows and invariant sets
Limit sets, ω-limit sets, and attractors
Dynamical systems · Standard syllabus
Topic
Limit sets, ω-limit sets, and attractors
Graduate Dynamical Systems — scope drawn from open graduate dynamical systems notes and typical US graduate dynamical systems syllabi.