Revisiting the dynamic of Q-deformed logistic maps
We consider the logistic family and apply the $q$-deformation $ϕ_q(x)=\frac{1-q^x}{1-q}$. 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 [8].
math.DS↗