Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
  Slow roll solutions to inflationary potentials have been widely believed to
be the only universal attractor. Over the last few years there has been growing
interest in a new class of inflationary models known as Constant-Roll
Inflation. Constant roll solutions are a generalization of "ultra-slow roll"
dynamics, where the first slow roll parameter is small, but the second slow
roll parameter $\eta$ is larger than unity. In Ultra-slow Roll Inflation, the
large-$\eta$ solution is a dynamical transient, relaxing exponentially to the
attractor de Sitter solution. In the constant roll generalization, recent
papers have concluded that Constant-Roll Inflation represents a new class of
non-slow roll attractor solutions. In this paper we show that these attractor
solutions are actually the usual slow roll attractor, disguised by a parameter
duality, and that the large-$\eta$ solutions, as in the case of ultra-slow
roll, represent a dynamical transient.
