Blog
Our Paper Was Published in AIP Chaos
Our paper titled “Finite invariant sets with bridging points in logistic IFS” was published in AIP Chaos.
While orbits of iterated function systems built from nonlinear maps such as the logistic map are typically infinite sets, we showed that finite invariant sets can exist under certain settings and studied the properties of such examples. The header image shows the transitions within a finite invariant set formed by three such points.
The node drawn as square is so-called “bridging point”: point that is not periodic points of the original logistic map, yet still behave as part of the invariant set within the iterated function system.
If you’re interested, please take a look at the paper or the arXiv preprint linked below.