### Stability and Periodic Nature of a System of Difference Equations

Document Type : Special issue editorial

Author

Kırklareli University, Kırklareli, 39100, Turkey

Abstract

In this paper, we investigate the equilibrium points of following a system of difference equations $x_{n+1}=x_{n-2}y_{n}-1,y_{n+1}=y_{n-2}x_{n}-1$. We also study the asymptotic stability of related system of difference equations. Further we examine the periodic solutions of related system with period two. Additionally, we find out the invariant interval and periodic cycles of related system of difference equations.

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