poincare

Poincar´e Diagram: Classification of Phase Portraits in the (det A, Tr A)-plane det A ∆=0: det A= 14 (Tr A)2 ∆=0 spir...

5 downloads 49 Views 68KB Size
Poincar´e Diagram: Classification of Phase Portraits in the (det A, Tr A)-plane det A

∆=0: det A= 14 (Tr A)2

∆=0

spiral sink

spiral source

degenerate sink

degenerate source

center

uniform motion sink

line of stable fixed points

source

saddle

line of unstable fixed points

Tr A