Revisiting the dynamic of q-deformed logistic maps

We consider the logistic family and apply the q-deformation phi(q)(x) = 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 Canovas (2022).

Automated summary

In this paper, we investigate the q-deformed logistic map family and analyze the stability regions of its fixed points as well as the regions where the dynamics exhibit complexity using topological entropy and Lyapunov exponents. Our findings suggest that the dynamics of this deformed family are richer compared to the q-deformed family studied in Canovas (2022).