Name | Date modified | File size |
|
|---|---|---|---|
Lecture 1 Stable, unstable, and center subspaces and examples.pdf Shared | Dec 1, 2020 | 1.5 MB | |
Lecture 2 Hyperbolic vs non-hyperbolic fixed points and computing their invariant manifolds via Taylor series.pdf Shared | Dec 1, 2020 | 1.6 MB | |
Lecture 3 Center manifold theory, computing center manifolds.pdf Shared | Dec 1, 2020 | 1.6 MB | |
Lecture 4 Center manifolds depending on parameters and connections to bifurcations- Lorenz system.pdf Shared | Dec 1, 2020 | 1.8 MB | |
Lecture 5 Center manifolds for Hamiltonian systems and PDEs.pdf Shared | Dec 1, 2020 | 1.5 MB | |
Lecture 6 Center manifold theory for maps.pdf Shared | Dec 1, 2020 | 1.6 MB | |
Lecture 7 Normal forms for vector fields near equilibria.pdf Shared | Dec 1, 2020 | 1.9 MB | |
Lecture 8 Hopf bifurcation example - Normal forms for vector fields depending on parameters.pdf Shared | Dec 1, 2020 | 1.9 MB | |
Lecture 9 Normal forms for maps near fixed points.pdf Shared | Dec 1, 2020 | 2.2 MB | |
Lecture 10 Bifurcation theory- saddle-node, transcritical, pitchfork, Hopf.pdf Shared | Dec 1, 2020 | 1.6 MB |