- Konuralp Journal of Mathematics
- Vol: 9 Issue: 1
- 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,...
On the Dynamics of a System of Difference Equations $x_{n+1}=x_{n-1}y_{n}-1, y_{n+1}=y_{n-1}z_{n}-1, z_{n+1}=z_{n-1}x_{n}-1$
Authors : Erkan Taşdemir, Yüksel Soykan
Pages : 1-9
View : 10 | Download : 5
Publication Date : 2021-04-28
Article Type : Research
Abstract :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.Keywords : boundedness, difference equations, dynamical systems, periodicity, stability