Question: (a) Under what conditions does the linear iterative system u(k+1) = T u(k) have a period solution, i.e.. u(k-2) = u(k) u(k+1)? Give an

(a) Under what conditions does the linear iterative system u(k+1) = T u(k) have a period solution, i.e.. u(k-2) = u(k) ≠ u(k+1)? Give an example of such a system.
(b) Under what conditions is there a unique period 2 solution?
(c) What about a period m solution?

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