Dynamical analysis of attractor behavior in constant roll inflation

There has been considerable recent interest in a new class of non-slow roll inflationary solutions known as constant roll inflation. Constant roll solutions are a generalization of the ultra-slow roll (USR) solution, where the first Hubble slow roll parameter epsilon is small, but the second Hubble slow roll parameter eta is not. While it is known that the USR solutions represent dynamical transients, there has been some disagreement in literature about whether or not large-eta constant roll solutions are attractors or are also a class of transient solutions. In this paper we show that the large-eta constant roll solutions do in fact represent transient solutions by performing stability analysis on the exact analytic (large-eta) constant roll solutions.