Document Type

Article

Date of Original Version

2015

Abstract

We find the asymptotic approximations of the stable and unstable manifolds of the saddle equilibrium solutions of the following difference equation xn+1 = a x3n + bx3n-1 + cxn + dxn-1, n = 0,1... where the parameters a, b, c and d are positive numbers and the initial conditions x-1 and x0 are arbitrary numbers. these manifolds determine completely the global dynamics of this equation.

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