Question: Definition 1: A dynamical system f : X - X is conjugate to another dynam- ical system g : Y - Y if there is

Definition 1: A dynamical system f : X - X is conjugate to another dynam- ical system g : Y - Y if there is a bijection h : X -> Y so that f = h-logoh.(Conjugacy preserves cycles) Suppose that f has a point of period n and that f is conjugate to g as in Definition 1. Prove that g also has a point of period n. Hint: Don't forget that even if you are able to find a point x so that g" (x) = x, this does not immediately imply that x has period n.../

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