On Fractional Generalizations of the Logistic Map and their Applications

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Fractional Differential Equations Solutions
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article
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article

On Fractional Generalizations of the Logistic Map and their Applications

ArXiv.org
Fractional Differential Equations Solutions
article

On Fractional Generalizations of the Logistic Map and their Applications

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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.org
Openalex Percentile: Top 47%
Fractional Differential Equations Solutions
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On Fractional Generalizations of the Logistic Map and their Applications · ArXiv.org (2025) | TGRS Research Map | TGRS