On the Dynamics of a System of Difference Equations $x_{n+1}=x_{n-1}y_{n}-1, y_{n+1}=y_{n-1}z_{n}-1, z_{n+1}=z_{n-1}x_{n}-1$

Yıl 2021, Cilt: 9 Sayı: 1, 1 - 9, 28.04.2021

Erkan Taşdemir Yüksel Soykan

Öz

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.

Anahtar Kelimeler

boundedness, difference equations, dynamical systems, periodicity, stability

Kaynakça

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