Phase diagram
An improper node
x^0 =
1 1
1 2
x
x ' = A x + B yy ' = C x + D y A = 1C = 1 B = - 1D = 3
-5 -4 -3 -2 -1 0 1 2 3 4 5
-5
-4
-3
-2
-1
0
1
2
3
4
5
x
y
Medvegyev (CEU) Mathematics for Economists 2013 250 / 252
An improper node
x^0 =
x
x ' = A x + B yy ' = C x + D y A = 1C = 1 B = - 1D = 3
-5 -4 -3 -2 -1 0 1 2 3 4 5
-5
-4
-3
-2
-1
0
1
2
3
4
5
x
y
Medvegyev (CEU) Mathematics for Economists 2013 250 / 252