Numerical evidence of Feigenbaum's number \(\delta\) in non-linear oscillations (Q1208904)

The aim of this paper is to compute, to a high precision, the transition values of the specific parameter \(F\) at which period-doubling bifurcations take place. The differential equation which is involved is \(\ddot x(t)+0.1\dot x(t)+x(t)-x^ 2(t)=F\sin 0.85 t\). An iterative technique and numerical results are presented.