On the dynamics of the q-deformed logistic map

Publication date: Available online 8 March 2019Source: Physics Letters AAuthor(s): J. Cánovas, M. Muñoz-GuillermoAbstractWe analyze the q-deformed logistic map, where the q-deformation follows the scheme inspired in the Tsallis q-exponential function. We compute the topological entropy of the dynamical system, obtaining the parametric region in which the topological entropy is positive and hence the region in which chaos in the sense of Li and Yorke exists. In addition, it is shown the existence of the so-called Parrondo's paradox where two simple maps are combined to give a complicated dynamical behavior.

Source: Physics Letters A - March 10, 2019 Category: Physics Source Type: research