  This paper investigates the different behaviors of the process equation and
parameters of their occurrences. The process equation is a multistable one
dimensional map with nonlinear feedback and can show various behaviors such as
period doubling route to chaos, bios, unstable windows and periodic windows. In
this note, we focus on different behaviors of the process equation by a deep
look at phase portraits and cobweb plots. Therefore, period doubling route to
chaos and unifurcations of the equation are investigated, and also the
parameter of its entrance to biotic pattern is discussed. The control parameter
for the process equation is g (the coupling constant). In higher g, the system
shows some unstable and periodic windows among the biotic behaviors. Different
patterns of these windows and the reasons of their happenings are investigated
mathematically. In addition, some other types of unstable and periodic windows
are discussed and Q-curves determine the difference of these windows with the
previous ones.
