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On the Behavior of Solutions of the System of Rational Difference Equations: <i>x</i><sub><i>n</i>+1</sub> = <i>x</i><sub><i>n</i>−1</sub>/(<i>y</i><sub><i>n</i></sub><i>x</i><sub><i>n</i>−1</sub> − 1), <i>y</i><sub><i>n</i>+1</sub> = <i>y</i><sub><i>n</i>−1</sub>/(<i>x</i><sub><i>n</i></sub><i>y</i><sub><i>n</i>−1</sub> − 1), and <i>z</i><sub><i>n</i>+1</sub> = <i>z</i><sub><i>n</i>−1</sub>/(<i>y</i><sub><i>n</i></sub><i>z</i><sub><i>n</i>−1</sub> − 1)
We investigate the solutions of the system of difference equations x n +1 = x n −1 /( y n x n −1 − 1), y n +1 = y n −1 /( x n y n −1 − 1), z n +1 = z n −1 /( y n …