Dynamic Characteristics of Four Systems of Difference Equations with Higher Order

In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations. More precisely, it is proved that for all involved respective parameters, discrete systems have a trivial fixed point. We have studie...

Full description

Saved in:
Bibliographic Details
Published in:Advances in mathematical physics 2021-12, Vol.2021, p.1-21
Main Authors: Khan, Abdul Qadeer, Qureshi, Shahid Mahmood, Ahmed, Imtiaz
Format: Article
Language:English
Subjects:
Convergence
Difference equations
Discrete systems
Dynamic characteristics
Investigations
Simulation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations. More precisely, it is proved that for all involved respective parameters, discrete systems have a trivial fixed point. We have studied local and global dynamical characteristics at trivial fixed point and proved that trivial fixed point of the discrete systems is globally stable under respective definite parametric conditions. We have also studied boundedness and rate of convergence for under consideration discrete systems. Finally, theoretical results are confirmed numerically. Our findings in this paper are considerably extended and improve existing results in the literature.
ISSN:1687-9120
1687-9139
DOI:10.1155/2021/6760596