Bifurcation and chaotic behavior in the Euler method for a Uçar prototype delay model

A discrete model with a simple cubic nonlinearity term for the symmetric coupling of three fixed points (one unstable) is treated in the study of bifurcations and chaotic behavior of a prototype delayed dynamical system under discretization. Effective computation of Hopf bifurcations, stable limit cycles (periodic solutions), symmetrical breaking bifurcations and chaotic behavior in nonlinear delayed equations is proposed.