Title

Asymptotic approximations of a stable and unstable manifolds of a two-dimensional quadratic map

Document Type

Article

Date of Original Version

1-1-2016

Abstract

We find the asymptotic approximations of the stable and unstable manifolds of the saddle equilibrium solutions and the saddle period-two solutions of the following difference equation xn+1= cx2n-1+dxn+1; where the parameters c and d are positive numbers and initial conditions x-1and x0are arbitrary nonnegative numbers. These manifolds determine completely global dynamics of this equation.

Publication Title

Journal of Computational Analysis and Applications

Volume

21

Issue

1

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