Article
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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. https://doi.org/10.20944/preprints201910.0347.v1 Taşdemir, E. Stability and Periodic Nature of a System of Difference Equations. Preprints 2019, 2019100347. https://doi.org/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.
Supplementary and Associated Material
https://ijnaa.semnan.ac.ir/article_4414.html: Peer reviewed version
Keywords
difference equations; equilibrium points; stability; periodicity; invariant
Subject
Physical Sciences, Mathematical Physics
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.
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