Chaos conjecture for the subcritical Kasner circle eIFS

Let $v\in(0,1/2)$, and let the Kasner circle eIFS be the iterated function system consisting of the maps ${\cal K}_{\mu\nu\zeta}:\mathrm{K}^{\ocircle}\to\mathrm{K}^{\ocircle}$ defined by the Bianchi type II heteroclinic dynamics. Kasner circle eIFS chaos conjecture. The Kasner circle eIFS is chaotic when $v\in(0,1/2)$. This conjecture concerns the discrete dynamics associated with infinite Bianchi type II heteroclinic chains in the subcritical regime; the source gives no proof or resolution.