Numerical Chaos in a Fractional Order Logistic Map

TL;DR

This paper explores the dynamics of a fractional order logistic map, revealing its properties and demonstrating how it undergoes period-doubling leading to chaos through numerical analysis.

Contribution

It introduces a fractional order logistic map and analyzes its properties and route to chaos, extending classical logistic map studies.

Findings

Fractional logistic map exhibits complex dynamics.

Numerical evidence of period-doubling route to chaos.

Basic properties of the fractional logistic map identified.

Abstract

In this paper we investigate a fractional order logistic map and its discrete time dynamics. We show some basic properties of the fractional logistic map and numerically study its period-doubling route to chaos.