Dynamics of a second-order system of nonlinear difference equations

Document Type: Research Paper

Author

Kırklareli University, Kırklareli, 39100, Turkey

10.22075/ijnaa.2020.17257.1919

Abstract

In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equations

x_{n+1}=x_{n-1}y_{n}-1,y_{n+1}=y_{n-1}x_{n}-1

n=0,1,..., where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.

Keywords