@article{article_1230130, title={Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms}, journal={Communications in Advanced Mathematical Sciences}, volume={6}, pages={31–43}, year={2023}, DOI={10.33434/cams.1230130}, author={Abd El-moneam, Mohamed}, keywords={difference equations, Global asymptotic stability, system}, abstract={In this article, we discuss the global asymptotic stability of following system of difference equations with quadratic terms: $x_{i+1}=\alpha+\beta \frac{y_{i-1 }{y_{i}^{2 },\quad y_{i+1}=\alpha+\beta \frac{x_{i-1 }{x_{i}^{2} }$ where $\alpha$, $\beta$ are positive numbers and the initial values are positive numbers. We also study the rate of convergence and oscillation behaviour of the solutions of related system. We will give also, some numerical examples to illustrate our results.}, number={1}, publisher={Emrah Evren KARA}