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We study the behavior of the solutions of the following systemof difference equations xn+1=max⁡{A/xn,yn/xn}, yn+1=max⁡{A/yn,xn/yn} where the constant A and the initial conditions are positive real numbers

discrete dynamics in nature and society

On the Solutions of the System of Difference Equations<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>max</mml:mi><mml:mo>{</mml:mo><mml:mi>A</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>x</mml:mi><mml…

On the Solutions of the System of Difference Equationsxn+1=max{A/xn,yn/x