Abstract
Consider the function \( p(x) = - \tfrac{3}{2}{x^2} + \tfrac{5}{2}x + 1 \). It is easy to see that p(0) = 1, p(1) = 2, and p(2) = 0. So {0, 1, 2} is an orbit with period three. It is reasonable to ask how many other periodic points p(x) has and what prime periods are represented.
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© 1996 Springer Science+Business Media New York
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Holmgren, R.A. (1996). Sarkovskii’s Theorem. In: A First Course in Discrete Dynamical Systems. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8732-7_5
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DOI: https://doi.org/10.1007/978-1-4419-8732-7_5
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