Numerical Analysis

Graphical Analysis

DPS.exe Analysis

Fixed point

−0.73205 and 2.73205 (have to solve f ( x ) = x for x).

−0.73205 and 2.73205 (additional programming required).

−0.73205 and 2.73205 (system generated automatically).

Nature of the fixed point

A large scale of calculation and assumption is required.

−0.73205 is attracting fixed points, whereas 2.73205 is repelling, which arises by taking an initial seed near the fixed point and additional programming required for graphical analysis.

−0.73205 is attracting a fixed point, whereas 2.73205 is repelling.

The system itself determines this and automatically represents its nature to the user.

Orbit for initial seed x0 = −0.7

Complicate to continue this process.

Same as previous

Same as previous

The fate of orbit for initial see x0 = −0.7

Same as previous

Assuming from cobweb

Same as previous