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 [itex] x_1 , x_2, x_3[/itex] near [itex]a[/itex] and also [itex] |x_2−a|<|x_1−a|<|x_0−a| [/itex], i.e., different points are get closer and closer to the final point [itex] a[/itex]. 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.