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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

Natural Number Chaotic Dynamics Closed Interval Periodic Point Nest Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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