Sarkovskii’s Theorem

  • Richard A. Holmgren
Part of the Universitext book series (UTX)

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.

Keywords

Manifold 

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Richard A. Holmgren
    • 1
  1. 1.Department of MathematicsAllegheny CollegeMeadvilleUSA

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