Periodic point of an interval map
= Periodic point of an interval map
{title2=$F^n(x)=x$}
= Cycle of an interval map
{synonym}
= Cycles of an interval map
{synonym}
A point $x$ is periodic for an <interval map> $F$ when $F^n(x)=x$ for some <positive integer> $n$. Its least such $n$ is its period, and the finite set
$$
\{x,F(x),\ldots,F^{n-1}(x)\}
$$
is its periodic orbit.
For an <interval map>, this is the usual <periodic point> condition. Its least positive return time is the period.