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The role of geometry in q-deformations.

Created on 26 Aug 2026

Authors

José S Cánovas, Houssem Eddine Rezgui

Published in

Chaos (Woodbury, N.Y.). Volume 36. Issue 8. Aug 01, 2026.

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
Bibliographic data and abstract were imported from PubMed on 26 Aug 2026.

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