Global asymptotic stability and trajectory structure rules of high-order nonlinear difference equation

In this article, global asymptotic stability and trajectory structure of the following high-order nonlinear difference equation $ z_{n+1} = \frac{z_{n-1}z_{n-2}z_{n-4}+z_{n-1}+z_{n-2}+z_{n-4}+b}{z_{n-1}z_{n-2}+z_{n-1}z_{n-4}+z_{n-2}z_{n-4}+1+b}, \quad n\in N, $ are studied, where $ b\in[0, \in...

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Bibliographic Details
Main Authors: Qianhong Zhang, Liqin Shen
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241370?viewType=HTML
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