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Revisiting the dynamic of q-deformed logistic maps

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  • Cánovas, Jose S.
  • Rezgui, Houssem Eddine

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).

Suggested Citation

  • Cánovas, Jose S. & Rezgui, Houssem Eddine, 2023. "Revisiting the dynamic of q-deformed logistic maps," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s096007792201219x
    DOI: 10.1016/j.chaos.2022.113040
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    References listed on IDEAS

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    1. Behnia, S. & Yahyavi, M. & Habibpourbisafar, R., 2017. "Watermarking based on discrete wavelet transform and q-deformed chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 6-17.
    2. Luo, Cheng & Liu, Bao-Qing & Hou, Hu-Shuang, 2021. "Fractional chaotic maps with q–deformation," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    3. Mendoza, Steve A. & Peacock-López, Enrique, 2018. "Switching induced oscillations in discrete one-dimensional systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 35-44.
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    Cited by:

    1. Vignesh, D. & He, Shaobo & Banerjee, Santo, 2023. "Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization," Applied Mathematics and Computation, Elsevier, vol. 455(C).

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