Nonlinear dynamics in the Einstein-Friedmann equation

In this paper, we have studied the λ-dependence of solutions in the Einstein-Friedmann equation and found the upper limit of λ (λmax = +0.14) for the occurrence of the chaotic behaviours in the Einstein-Friedmann equation (0 ≦ λ ≦ +0.14). The numerical calculations are performed with the use of the Microsoft EXCEL(2003), and the results are shown in the following cases; λ = 2b = +0.06 and +0.14.