Islands Supporting ACIM for Two-Dimensional Map
Paweł Góra, Ted Szylowiec · International Journal of Bifurcation and Chaos · 2022
We present strong numerical evidence for the existence of “islands” (small, localized, disjoint regions of support) for a two-dimensional map which was studied before for various ranges of parameters. Once this evidence is accepted, it leads to a combinatorial computer-assisted proof for the existence of an ACIM supported on all 175 of these islands.