Mathematica Eterna
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Abstract

On the Periodic Solutions of Some Rational Difference Systems I

Banyat Sroysang

In this paper, we focus on the system of rational difference equations xn+1 = βyn−2 −β + yn−2xn−1yn , yn+1 = βxn−2 −β + xn−2yn−1xn , zn+1 = βxn−2 + βyn−2 −β + xn−2yn−1xn , n = 0, 1, ..., where the initial conditions are arbitrary real numbers and β 6= 0 0. We investigate the periodic solutions of the system.