A. Homburg

activity

19962026

most citedRobust minimality of iterated function systems with two generators

15 citations · 44 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.DS2022★ 3 cited

Iterated function systems of affine expanding and contracting maps on the unit interval

Ale Jan Homburg, Charlene Kalle

We analyze the two-point motions of iterated function systems on the unit interval generated by expanding and contracting affine maps, where the expansion and contraction rates are…

math.DS2022

Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy

Ale Jan Homburg, Jeroen Lamb, Dmitry Turaev

We consider reversible vector fields in $R^{2 n}$ such that the set of fixed points of the involutory reversing symmetry is $n$ -dimensional. Let such system have a smooth o…