ABSTRACT
This chapter explores chaotic behavior in great detail and learns that the dynamics of the logistic family of the functions is chaotic. The transition is summarized in a bifurcation diagram for the logistic family of the functions. Bifurcation diagrams are often computed numerically, not analytically. The basin of attraction of a fixed point a function is the set of all points whose orbit converges. The immediate basin of attraction is the maximal interval containing that lies in the basin of the attraction. The chapter explores the details of the bifurcation diagram and interprets them in the terms of dynamics and bifurcations.
