Reading: pg. 709-768

**1.** Show that the tent map is chaotic on [0,1]. (Hint: See HW #15, Problem 2.)

**2.** Show that the logistic map is topologically conjugate to Q(x)=x^2+c. (Hint: This can be done with a map of the form h(x)=ax+b.)

**3.** Find all points in code space on two symbols for which the shift map has a prime period 6 orbit.

**4.** Find the intervals A0, A00, A01, I0, and I1 for ** a**=6 in the logistic map. Repeat for

**5.** Consider code space on three symbols {0,1,2}. Is the left shift map chaotic on it?

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