Theoretical and numerical analysis of solutions of some systems of nonlinear difference equations

In this paper, we obtain the form of the solutions of the following rational systems of difference equations x(n+1) = y(n-1)z(n)/z(n) +/- x(n-2), y(n+1) = z(n-1) x(n)/x(n) +/- y(n-2), z(n+1) = x(n-1)y(n)/y(n) +/- z(n-2), with initial values are non-zero real numbers.

Automated summary

This paper obtains the form of solutions of a specific rational system of difference equations, which consists of three related equations and the initial values are non-zero real numbers.