A note on stability of fractional logistic maps

Autor:	Daniel Melchor-Aguilar, Jessica Mendiola-Fuentes
Rok vydání:	2022
Předmět:	Exponential stability Applied Mathematics Applied mathematics Order (group theory) Logistic map Fixed point Stability (probability) Mathematics
Zdroj:	Applied Mathematics Letters. 125:107787
ISSN:	0893-9659
DOI:	10.1016/j.aml.2021.107787
Popis:	In this note, we investigate the stability of fractional logistic maps. These fractional maps are special classes of nonautonomous difference equations, which generalize the classic logistic map to the fractional order case. For such fractional maps, we derive sufficient conditions for uniform asymptotic stability of their fixed points. The validity of the analytic results is illustrated by numerical simulations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8703e5b0420c8c4e4d0895879e1c3aed https://doi.org/10.1016/j.aml.2021.107787 Zobrazit plný text záznamu Full Text from ScienceDirect