Version 1
: Received: 29 October 2019 / Approved: 30 October 2019 / Online: 30 October 2019 (07:25:16 CET)
How to cite:
Taşdemir, E.; Soykan, Y. On The Dynamics of a System of Difference Equations xn+1 = xn-1 yn - 1, yn+1 = yn-1zn - 1, zn+1 = zn-1xn - 1. Preprints2019, 2019100350. https://doi.org/10.20944/preprints201910.0350.v1
Taşdemir, E.; Soykan, Y. On The Dynamics of a System of Difference Equations xn+1 = xn-1 yn - 1, yn+1 = yn-1zn - 1, zn+1 = zn-1xn - 1. Preprints 2019, 2019100350. https://doi.org/10.20944/preprints201910.0350.v1
Taşdemir, E.; Soykan, Y. On The Dynamics of a System of Difference Equations xn+1 = xn-1 yn - 1, yn+1 = yn-1zn - 1, zn+1 = zn-1xn - 1. Preprints2019, 2019100350. https://doi.org/10.20944/preprints201910.0350.v1
APA Style
Taşdemir, E., & Soykan, Y. (2019). On The Dynamics of a System of Difference Equations <em>x</em><sub><em>n</em>+1 </sub>= <em>x</em><sub><em>n</em>-1 </sub><em>y<sub>n </sub></em>- 1, <em>y</em><sub><em>n</em>+1 </sub>= <em>y</em><sub><em>n</em>-1</sub><em>z<sub>n </sub></em>- 1, <em>z</em><sub><em>n</em>+1 </sub>= <em>z</em><sub><em>n</em>-1</sub><em>x</em><sub>n </sub>- 1. Preprints. https://doi.org/10.20944/preprints201910.0350.v1
Chicago/Turabian Style
Taşdemir, E. and Yüksel Soykan. 2019 "On The Dynamics of a System of Difference Equations <em>x</em><sub><em>n</em>+1 </sub>= <em>x</em><sub><em>n</em>-1 </sub><em>y<sub>n </sub></em>- 1, <em>y</em><sub><em>n</em>+1 </sub>= <em>y</em><sub><em>n</em>-1</sub><em>z<sub>n </sub></em>- 1, <em>z</em><sub><em>n</em>+1 </sub>= <em>z</em><sub><em>n</em>-1</sub><em>x</em><sub>n </sub>- 1" Preprints. https://doi.org/10.20944/preprints201910.0350.v1
Abstract
In this paper, we study the dynamics of following system of nonlinear difference equations xn+1 = xn-1yn - 1, yn+1 = yn-1zn - 1, zn+1 = zn-1xn - 1. Especially we investigate the periodicity, boundedness and stability of related system of difference equations.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
