@article{Alharthi2024, 
author = {M. T. Alharthi},
title = {On the solutions of some systems of rational difference equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {30320-30347},
keywords = {difference equations, periodic solutions, stability, recursive sequences, system of difference equations},
url = {https://www.sciopen.com/article/10.3934/math.20241463},
doi = {10.3934/math.20241463},
abstract = {In this paper, we considered some systems of rational difference equations of higher order as follows   un+1=vn−61±vnun−1vn−2un−3vn−4un−5vn−6,vn+1=un−61±unvn−1un−2vn−3un−4vn−5un−6,where the initial conditions  u0,  u−1,  u−2,  u−3,  u−4,  u−5,  u−6,  v0,  v−1,  v−2,  v−3,  v−4,  v−5 and  v−6 were arbitrary real numbers. We obtained a closed form of the solutions for each considered system and also some periodic solutions of some systems were found. We presented some numerical examples to explain the obtained theoretical results.}
}