Notice that there are several differences between this map and that of the logistic attractor. The break points where the single value of the attractor leaves zero is no longer 1. The whole map is contained in the domain gain between 0 and 1. The bifurcations and the onset of chaos are at different locations. Still it is similar in general appearance to the map of the logistic attractor. The attractor is sometimes single valued, sometimes periodic and sometimes chaotic.