Dynamics of a rational difference equation

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In this note, we investigate the solution of the difference equation xn+1=xn-1a-xn-1xn,n=0,1,2,…, where x-1,x0∈R and a > 0. Moreover, we discuss the stability properties and semi-cycle behavior of this solution.

论文关键词:Recursive sequence,Equilibrium point,Stability,Semi-cycle

论文评审过程:Available online 6 December 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.10.024