Dynamics of fractional and double-humped logistic maps versus the conventional one

Samar M Ismail,Mohamed F Abu-Elyazeed,Ahmed H Madian,Ahmed G Radwan,Lobna A Said

doi:10.1109/icm.2017.8268859

Dynamics of fractional and double-humped logistic maps versus the conventional one

Samar M Ismail, Mohamed F Abu-Elyazeed + Show 3 more

https://doi.org/10.1109/icm.2017.8268859

Copy DOI

Publication Date: Dec 1, 2017

Citations: 11

Affiliation: Cairo University, Nile University, Egyptian Atomic Energy Authority

#Fractional Logistic Map #Logistic Map + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

This paper presents the dynamic analysis of two discrete logistic chaotic maps versus the conventional map. The first map is the fractional logistic map with the extra degrees of freedom provided by the added number of variables. It has two more variables over the conventional one. The second map is the double-humped logistic map. It is a fourth-order map which increases the non-linearity over the conventional one. The dynamics of the three maps are discussed in details, including mathematical derivations of fixed points, stability analysis, bifurcation diagrams and the study of their chaotic regions. The chaotic behavior of the three maps, is investigated using the Maximum Lyapunov exponent (MLE).

Full Text