The 45° blue bowtie condition is just a visual statement of the fact that at the fixed point the absolute value of the derivative is less than 1. |
For the logistic map L(x) = s⋅x⋅(1 - x), the derivative is L'(x) = s - 2⋅s⋅x. |
For the fixed point |
Consequently, this fixed point is stable for |
For the fixed point |
Consequently, this fixed point is
stable for |
Return to Fixed Points of the Logistic Map.