Iterative Systems of Difference Equations

[kathrynag]

If one were to solve an iterative system, how would they do so. I'm studying them, and am wondering how to find fixed points?
For example, say I have $$x_{n+1}$$=$$x_{n}^{2}$$ and was looking at fixed points how would I do so. I'm studying fixed points and attracting and repelling.

 

[tiny-tim]

Hi kathrynag!

(try using the X₂ tag just above the Reply box )

At a fixed point, you can put x_n = x_n+1 …

in your example, the fixed points will be x = 0 or 1.