Dynamical Systems II (4+2). The content is a selection of the following:
- Dynamical systems in continuous and discrete time;
- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;
- Stable and unstable manifolds;
- Shift dynamics and chaos;
- Hyperbolic dynamics;
- Center manifolds;
- Poincaré-Birkhoff normal form;
- Introduction to perturbation theory;
- Introduction to bifurcation theory;
- Introduction to ergodic theory.
Requirement: Differential Equations I