On Fractional Generalizations of the Logistic Map and their Applications

Abstract

The regular logistic map was introduced in 1960s, served as an example of a complex system, and was used as an instrument to demonstrate and investigate the period doubling cascade of bifurcations scenario of transition to chaos. In this paper, we review various fractional generalizations of the logistic map and their applications.

arXiv comment42 pages, 20 figures, a book chapter