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 �n+1 = ��3n + b�3n-1 + c�n + d�n-1, n = 0,1... where the parameters a, b, c and d are positive numbers and the initial conditions �-1 and �0 are arbitrary numbers. these manifolds determine completely the global dynamics of this equation.

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