7. Stable Manifold Theorem Flashcards
1
Q
Definition
Linearised ODE.
A
2
Q
Definition
Stable and unstable subspaces, and their dimensions.
A
3
Q
Definition 7.1
Stable and unstable manifolds.
A
4
Q
Theorem 7.2 (Stable Manifold)
A
5
Q
Remarks on what the dimensions of subspaces imply.
A
6
Q
Method to approximate stable and unstable manifolds as power series.
A
7
Q
Separatrices
A
8
Q
Jordan Curve Theorem
A
9
Q
Theorem 8.1 (Poincaré-Bendixson)
A