Article ID Journal Published Year Pages File Type
6421678 Applied Mathematics and Computation 2014 16 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Global dynamics of quadratic second order difference equation in the first quadrant
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