A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787

2021/12/19 by Mark Edelman, Edelman, Mark
Mathematics · Physics and Astronomy · #26A33 #34A99 #37G15 #39A70 #47H99 #70K50 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Dynamics and Fractals #Nonlinear Differential Equations Analysis #math.DS #msc:26A33 #msc:34A99 #msc:37G15 #msc:39A70 #msc:47H99 #msc:70K50 #nlin.CD

paper · pdf · doi:10.48550/arxiv.2112.10192

8 pages

openalex publication_date 2021/12/19 · arxiv created 2021/12/21 · arxiv updated 2021/12/22 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the product of a converging series with a converging sequence. We also mention that the paper commented on should have been edited more carefully.

Related

• Fractional Logistic Map
• On Fractional Generalizations of the Logistic Map and their Applications
• A note on the fractional logistic equation
• Remarks on logarithmic K-stability
• Effect of the time delay on the stability and instability of the logistic map