In this program
- Linearization
- Hartman–Grobman theorem (statement)
- Stable and unstable manifolds (introduction)
- Limit cycles
- Poincaré–Bendixson theorem (2D)
- Hamiltonian and gradient systems (introduction)
- Index theory for closed orbits (optional)
Nonlinear dynamics
Hamiltonian and gradient systems (introduction)
Dynamical systems · STEM / applied
Topic
Hamiltonian and gradient systems (introduction)
Undergraduate Dynamical Systems — scope drawn from open dynamical systems notes and typical US intro dynamical systems syllabi.