@article{article_583088, title={On the Dynamics of a System of Difference Equations $x_{n+1}=x_{n-1}y_{n}-1, y_{n+1}=y_{n-1}z_{n}-1, z_{n+1}=z_{n-1}x_{n}-1$}, journal={Konuralp Journal of Mathematics}, volume={9}, pages={1–9}, year={2021}, author={Taşdemir, Erkan and Soykan, Yüksel}, keywords={boundedness, difference equations, dynamical systems, periodicity, stability}, abstract={<p style="text-align:justify;"> <span style="font-size:14px;">In this paper, we study the dynamics of following system of nonlinear difference equations $x_{n+1}=x_{n-1}y_{n}-1,$ $y_{n+1}=y_{n-1}z_{n}-1,$ $ z_{n+1}=z_{n-1}x_{n}-1$. Especially we investigate the periodicity, boundedness and stability of related system of difference equations. </span> <br /> </p>}, number={1}, publisher={Mehmet Zeki SARIKAYA}