On the Solutions of Systems of Difference Equations via Tribonacci Numbers
arXiv:1906.09987
Abstract
The main objective of this paper is to investigate the explicit form, stability character and global behavior of solutions of the following two systems of rational difference equations x_{n+1}=((+(-)1)/(y_{n}(x_{n-1}+(-)1)+1)), y_{n+1}=((+(-)1)/(x_{n}(y_{n-1}+(-)1)+1)), n=0,1,... such that their solutions are associated with Tribonacci numbers.