(a) Under what conditions does the linear iterative system u(k+1) = T u(k) have a period solution,...

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(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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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