Revisiting the dynamic of q-deformed logistic maps

Jose S. Cánovas and Houssem Eddine Rezgui

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: We consider the logistic family and apply the q-deformation ϕq(x)=1−qx1−q. We study the stability regions of the fixed points of the q-deformed logistic map and the regions where the dynamic is complex through topological entropy and Lyapunov exponents. Our results show that the dynamic of this deformed family is richer than that of the q-deformed family studied in Cánovas (2022).

Keywords: Q-deformations; Global stability; Topological entropy; Chaos (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s096007792201219x

DOI: 10.1016/j.chaos.2022.113040

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