On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities

We consider the delay differential equation (DDE) x˙(t)=−g(x(t))+f(x(t−τ)) which shares the same equilibria with the corresponding ordinary differential equation (ODE) x˙(t)=−g(x(t))+f(x(t)). For the bistable case, both the DDE and ODE share three equilibria x0=0