Thread: Stability of fixed point View Single Post
 P: 5 Dear coelho, Really thanks for reply. The big problem is that this function is a function of several previous points!! For this function suppose that we have $x_1 , x_2, x_3$ near $a$ and also $|x_2−a|<|x_1−a|<|x_0−a|$, i.e., different points are get closer and closer to the final point $a$. I want to find a general rule for stability of this function. What do you think about "Bifurcation diagram"? I don't know Bifurcation diagram exactly and I'm not sure if Bifurcation diagram can help me to analyze the stability of this function.