Show that for the mapping T : S S defined by T (x, y) = x + 5 12 , y mod 1, every point

Chapter 10, Problem 5

(choose chapter or problem)

Show that for the mapping T : S S defined by T (x, y) = x + 5 12 , y mod 1, every point in S is a periodic point. Why does this show that the mapping is not chaotic?

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