Dynamical properties of a class of nonlinear difference equations
A class of nonlinear difference system xn+1=A+yn/zn-1,yn+1=A+zn/yn-1,zn+1=A+xn/yn-1 is studied using the dynamic theory of difference system,Jacobian matrix and numerical simulation.The dynamic properties of the solutions,such as boundedness,local asymptotic stability,global attractor,global asymptotic stability,etc.,are obtained.
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