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

作者：Bektesevic J; Kulenovic M R S^*; Pilav E

来源：Journal of Computational Analysis and Applications, 2016, 21(1): 35-51.

• Basin of attraction
• cooperative
• difference equation
• local stable manifold
• local unstable manifold
• monotonicity
• period-two solutions

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 x(n+1) = Cx(n-1)(2) + dx(n) + 1, where the parameters c and d are positive numbers and initial conditions x-1 and x(0) are arbitrary nonnegative numbers. These manifolds determine completely global dynamics of this equation.

• 出版日期2016-7