English

Revisiting the dynamic of Q-deformed logistic maps

Dynamical Systems 2023-01-11 v1

Abstract

We consider the logistic family and apply the qq-deformation ϕq(x)=1qx1q\phi_q(x)=\frac{1-q^x}{1-q}. We study the stability regions of the fixed points of the qq-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 qq-deformed family studied in [8].

Keywords

Cite

@article{arxiv.2207.07398,
  title  = {Revisiting the dynamic of Q-deformed logistic maps},
  author = {Jose S. Cánovas and Houssem Eddine Rezgui},
  journal= {arXiv preprint arXiv:2207.07398},
  year   = {2023}
}

Comments

23 pages, 52 figure