7. Stable Manifold Theorem Flashcards

1
Q

Definition
Linearised ODE.

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Definition
Stable and unstable subspaces, and their dimensions.

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Definition 7.1
Stable and unstable manifolds.

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Theorem 7.2 (Stable Manifold)

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Remarks on what the dimensions of subspaces imply.

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Method to approximate stable and unstable manifolds as power series.

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Separatrices

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Jordan Curve Theorem

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Theorem 8.1 (Poincaré-Bendixson)

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly