For example, suppose (a, b) = (1/2, -1/2) and (x0, y0) = (0, 0).
Then |
x1 = x02 - y02 + a =
02 - 02 + 1/2 = 1/2 |
y1 = 2⋅x0⋅y0 + b =
2⋅0⋅0 + (-1/2) = -1/2 |
|
Next, |
x2 = x12 - y12 + a =
(1/2)2 - (-1/2)2 + 1/2 = 1/2 |
y2 = 2⋅x1⋅y1 + b =
2⋅(1/2)⋅(-1/2) + (-1/2) = -1 |
|
Then, |
x3 = x22 - y22 + a =
(1/2)2 - (-1)2 + 1/2 = -1/4 |
y3 = 2⋅x2⋅y2 + b =
2⋅(1/2)⋅(-1) + (-1/2) = -3/2 |
|
and so on. |