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Dergiler / Konuralp Journal of Mathematics / 2021 / Cilt: 9 - Sayı: 1

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

Erkan TAŞDEMİR
Yüksel SOYKAN
Sayfa
1–9
Yayın Tarihi
2021-04-28
DOI
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Especially we investigate the periodicity, boundedness and stability of related system of difference equations.

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Amaç & Hipotez: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$.
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Temel Bulgular & Veri: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$.
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Sonuç & Katkı:Especially we investigate the periodicity, boundedness and stability of related system of difference equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:boundedness · difference equations · dynamical systems

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.

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Bu Makaleye Atıf Yap

TAŞDEMİR, E., SOYKAN, Y. (2021). On the Dynamics of a System of Difference Equations $x_{n+1}=x_{n-1}y_{n}-1, y_{n+1}=y_{n-1}z_{n}-1, z_{n+1}=z_{n-1}x_{n}-1$. Konuralp Journal of Mathematics, Cilt: 9 - Sayı: 1, 1–9. https://ajindex.com/articles/786391

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Kaynakça (16)

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