Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660631 | Topology and its Applications | 2007 | 4 Pages |
Abstract
A special case of Sarkovskii's theorem says that if a continuous function has a period-3 point then it has periodic points of every order. In this note we will investigate how often orbit types of period-n guarantee a period-3 point. An informal statement of our result is that as n goes to infinity the probability that a period-n orbit guarantees a period-3 point converges to 1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology