The island of stability is located within the chaotic region, starting at r = 3.8284.
Despite the presence of three stable cycle points in this region, chaos still technically persists.
The existence of points with period 4 in the system is affirmed through calculations involving the logistic map with r = 3.83.
While the visible region may only show three stable cycle points, there are infinitely more cyclic points present but not observable, emphasizing the intricate nature of chaos.