Preprint Article Version 1 This version is not peer-reviewed

Stability and Periodic Nature of a System of Difference Equations

Version 1 : Received: 29 October 2019 / Approved: 30 October 2019 / Online: 30 October 2019 (04:29:09 CET)

How to cite: Taşdemir, E. Stability and Periodic Nature of a System of Difference Equations. Preprints 2019, 2019100347 (doi: 10.20944/preprints201910.0347.v1). Taşdemir, E. Stability and Periodic Nature of a System of Difference Equations. Preprints 2019, 2019100347 (doi: 10.20944/preprints201910.0347.v1).

Abstract

In this paper, we investigate the equilibrium points of following a system of difference equations xn+1 = xn 2yn−1, y n+1 = yn 2xn−1. We also study the asymptotic stability of related system of difference equations. Further we examine the periodic solutions of related system with period two. Additionally, we find out the invariant interval and periodic cycles of related system of difference equations.

Subject Areas

difference equations; equilibrium points; stability; periodicity; invariant

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