Let M = {x(adsbygoogle = window.adsbygoogle || []).push({}); _{1}, x_{2}, x_{3}, ...} U {p} be a perfect metric space.

Let f be continuous, taking M to M with f(x_{n}) = x_{n+1}and f(p) = p.

I would like to know if this dynamical system is necessarily sensitive to initial conditions.

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# Sensitivity to initial conditions

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