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Feb11-12, 05:17 AM
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 [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.