Revisiting the dynamic of q-deformed logistic maps

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 defo...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 167; p. 113040
Main Authors Cánovas, Jose S., Rezgui, Houssem Eddine
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2023
Subjects
Chaos
Global stability
Q-deformations
Topological entropy
Chaos
37B40
Q-deformations
Global stability
Topological entropy
37E99
37B05
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Summary: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). •A periodic system is studied by generating a q-deformation of the logistic map.•Local and global stability of equilibrium points have been analyzed.•Complexity and chaos are analyzed by means of topological entropy and Lyapunov exponents.•The dynamic for this q-deformation is richer than that of rational q-deformations.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2022.113040