On Fractional Generalizations of the Logistic Map and their Applications
Chaotic Dynamics
2025-03-19 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2503.13256,
title = {On Fractional Generalizations of the Logistic Map and their Applications},
author = {Mark Edelman},
journal= {arXiv preprint arXiv:2503.13256},
year = {2025}
}
Comments
42 pages, 20 figures, a book chapter