Chaos. 2026 Aug 1;36(8):083152. doi: 10.1063/5.0333588.
ABSTRACT
In this paper, we study the role of geometry in q-deformations. We consider two conjugate maps fa(x) and 1 – fa(1 – x), where fa is the logistic family, with a ∈ (0, 4], and prove that their q-deformations by the map ϕq(x)=qx-q-xq-q-1 may exhibit quite different dynamic behaviors. Thus, the geometry of the maps is more important than their being conjugate when q-deformations are considered.
PMID:42644708 | DOI:10.1063/5.0333588
