Stability and dynamics of a stochastic discrete fractional-order chaotic system with short memory-Reference-Cited by-同舟云学术

Stability and dynamics of a stochastic discrete fractional-order chaotic system with short memory

Published:2023-10-10 Issue:1 Volume:2023 Page:
ISSN:2731-4235
Container-title:Advances in Continuous and Discrete Models
language:en
Short-container-title:Adv Cont Discr Mod

Author:

Ran Jie,Qiu Jixiu,Zhou Yonghui

Abstract

AbstractIn this paper, a stochastic discrete fractional-order chaotic system with short memory is proposed, which possesses two equilibrium points. With the help of the Lyapunov function theory, some sufficient conditions for the stability in probability of the two equilibrium points are given. Secondly, the effects of fractional order and memory steps on the stability of the system are discussed. Finally, the path dynamical behavior of the system is investigated using numerical methods such as Lyapunov exponents, bifurcation diagram, phase diagram, and 0–1 test. The numerical simulation results validate the findings.

Funder

National Natural Science Foundation of China

Guizhou QKHPTRC

QKZYD

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-023-03786-0.pdf

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