On the Periodicity Solutions of Five Systems of Rational Systems of Difference Equations of Order Five

Authors

  • J. G. AL-Juaid Taif University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5425

Keywords:

: Solutions of difference equations, periodic solution, recursive sequences

Abstract

The primary aim of this paper is to explore the behavior of several nonlinear systems of difference equations following 

T_{n+1}=(E_{n}E_{n-4})/(T_{n-3}(\pm 1 \pm E_{n}E_{n-4})),

E_{n+1}=(T_{n}T_{n-4})/(E_{n-3}(pm 1 \pm T_{n}T_{n-4})),

and obtain solution expressions for them. Moreover, we utilize MATLAB programming to simulare the dynamics and validate our results. 

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

On the Periodicity Solutions of Five Systems of Rational Systems of Difference Equations of Order Five. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3254-3267. https://doi.org/10.29020/nybg.ejpam.v17i4.5425