Global dynamics of quadratic second order difference equation in the first quadrant

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摘要

We investigate the global behavior of a quadratic second order difference equationxn+1=Axn2+Bxnxn-1+Cxn-12+Dxn+Exn-1+F,n=0,1,…with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points.

论文关键词：Attractivity,Basins,Difference equation,Invariant,Period-two solutions,Stable manifold,Unstable manifold

论文评审过程：Available online 30 November 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.10.048