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## Main Question or Discussion Point

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 [tex]x_{n+1}[/tex]=[tex]x_{n}^{2}[/tex] and was looking at fixed points how would I do so. I'm studying fixed points and attracting and repelling.

For example, say I have [tex]x_{n+1}[/tex]=[tex]x_{n}^{2}[/tex] and was looking at fixed points how would I do so. I'm studying fixed points and attracting and repelling.