Preprint Article Version 1 This version is not peer-reviewed

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

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. Preprints 2019, 2019100350 (doi: 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 (doi: 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.

Subject Areas

difference equations; dynamical systems; periodicity; stability; boundedness

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