Lecture 1 Stable, unstable, and center subspaces and examples.pdf

Lecture 2 Hyperbolic vs non-hyperbolic fixed points and computing their invariant manifolds via Taylor series.pdf

Lecture 3 Center manifold theory, computing center manifolds.pdf

Lecture 4 Center manifolds depending on parameters and connections to bifurcations- Lorenz system.pdf

Lecture 5 Center manifolds for Hamiltonian systems and PDEs.pdf

Lecture 6 Center manifold theory for maps.pdf

Lecture 7 Normal forms for vector fields near equilibria.pdf

Lecture 8 Hopf bifurcation example - Normal forms for vector fields depending on parameters.pdf

Lecture 9 Normal forms for maps near fixed points.pdf

Lecture 10 Bifurcation theory- saddle-node, transcritical, pitchfork, Hopf.pdf